id	sid	eid	entity	type
ejpam-5750	1	1	european journal	ORG
ejpam-5750	1	2	2025	DATE
ejpam-5750	1	3	18	CARDINAL
ejpam-5750	1	4	2	CARDINAL
ejpam-5750	1	5	5750	CARDINAL
ejpam-5750	1	6	new york	GPE
ejpam-5750	1	7	subharmonic	ORG
ejpam-5750	1	8	r2 amulya	ORG
ejpam-5750	1	9	smyrna	GPE
ejpam-5750	1	10	n. nathiya1∗ 1	ORG
ejpam-5750	1	11	vellore institute of technology chennai	ORG
ejpam-5750	1	12	tamil nadu	LOC
ejpam-5750	1	13	india	GPE
ejpam-5750	2	1	f(x	ORG
ejpam-5750	4	1	bounded domain ω	ORG
ejpam-5750	4	2	ω	CARDINAL
ejpam-5750	4	3	flux∞f	GPE
ejpam-5750	5	1	flux∞f	GPE
ejpam-5750	6	1	r2	GPE
ejpam-5750	6	2	two	CARDINAL
ejpam-5750	6	3	subharmonic	ORG
ejpam-5750	7	1	2020	DATE
ejpam-5750	7	2	31a05	CARDINAL
ejpam-5750	7	3	31a10	CARDINAL
ejpam-5750	7	4	subharmonic	ORG
ejpam-5750	7	5	1	CARDINAL
ejpam-5750	8	1	plane r2	PERSON
ejpam-5750	8	2	ω	ORG
ejpam-5750	8	3	f(x	ORG
ejpam-5750	8	4	ω	CARDINAL
ejpam-5750	9	1	ω	ORG
ejpam-5750	9	2	∫	ORG
ejpam-5750	9	3	∂n+	ORG
ejpam-5750	10	1	1	CARDINAL
ejpam-5750	11	1	f(x	ORG
ejpam-5750	11	2	ω	CARDINAL
ejpam-5750	12	1	ω	ORG
ejpam-5750	12	2	0	CARDINAL
ejpam-5750	13	1	2	CARDINAL
ejpam-5750	13	2	r2	GPE
ejpam-5750	13	3	r2	GPE
ejpam-5750	13	4	0	CARDINAL
ejpam-5750	14	1	two	CARDINAL
ejpam-5750	14	2	r2	GPE
ejpam-5750	15	1	subharmonic	ORG
ejpam-5750	16	1	first	ORDINAL
ejpam-5750	16	2	subharmonic	ORG
ejpam-5750	16	3	r2	GPE
ejpam-5750	17	1	subharmonic	ORG
ejpam-5750	17	2	r2	GPE
ejpam-5750	19	1	amulyasmyrna.c@gmail.com	NORP
ejpam-5750	19	2	smyrna c.	PERSON
ejpam-5750	19	3	n. nathiya	PERSON
ejpam-5750	20	1	1	CARDINAL
ejpam-5750	20	2	2025	CARDINAL
ejpam-5750	21	1	smyrna c.	GPE
ejpam-5750	21	2	n. nathiya	ORG
ejpam-5750	22	1	j. pure	PERSON
ejpam-5750	22	2	18	CARDINAL
ejpam-5750	22	3	2	CARDINAL
ejpam-5750	22	4	2025	CARDINAL
ejpam-5750	22	5	5750 2	CARDINAL
ejpam-5750	22	6	9	CARDINAL
ejpam-5750	22	7	subharmonic	ORG
ejpam-5750	22	8	3	CARDINAL
ejpam-5750	23	1	4	CARDINAL
ejpam-5750	24	1	r2	GPE
ejpam-5750	25	1	subharmonic	ORG
ejpam-5750	25	2	r2	GPE
ejpam-5750	27	1	αs	CARDINAL
ejpam-5750	27	2	v(x	PERSON
ejpam-5750	27	3	subharmonic	ORG
ejpam-5750	27	4	r2	ORG
ejpam-5750	27	5	0	CARDINAL
ejpam-5750	32	1	αs	CARDINAL
ejpam-5750	36	1	subharmonic	ORG
ejpam-5750	36	2	r2	GPE
ejpam-5750	37	1	(anandam [5	DATE
ejpam-5750	37	2	6	CARDINAL
ejpam-5750	38	1	x.	GPE
ejpam-5750	38	2	three	CARDINAL
ejpam-5750	40	1	al	PERSON
ejpam-5750	41	1	8	CARDINAL
ejpam-5750	42	1	f(x	ORG
ejpam-5750	44	1	two	CARDINAL
ejpam-5750	44	2	subharmonic	ORG
ejpam-5750	44	3	subharmonic	ORG
ejpam-5750	45	1	|x| ≤	PERSON
ejpam-5750	45	2	r2	GPE
ejpam-5750	45	3	∫ |x|<r	ORG
ejpam-5750	45	4	subharmonic	ORG
ejpam-5750	45	5	c2-subharmonic	ORG
ejpam-5750	46	1	lim r→∞ ∫ ∂s	PERSON
ejpam-5750	51	1	smyrna c.	PERSON
ejpam-5750	51	2	n. nathiya	ORG
ejpam-5750	52	1	j. pure	PERSON
ejpam-5750	52	2	18	CARDINAL
ejpam-5750	52	3	2	CARDINAL
ejpam-5750	52	4	2025	CARDINAL
ejpam-5750	52	5	5750 3	DATE
ejpam-5750	52	6	subharmonic	ORG
ejpam-5750	53	1	2π∫	CARDINAL
ejpam-5750	53	2	2rr	ORDINAL
ejpam-5750	55	1	r2	GPE
ejpam-5750	55	2	∆v	NORP
ejpam-5750	57	1	f(x	ORG
ejpam-5750	57	2	ϕ(x	ORG
ejpam-5750	57	3	2	CARDINAL
ejpam-5750	58	1	subharmonic	ORG
ejpam-5750	61	1	two	CARDINAL
ejpam-5750	61	2	subharmonic	ORG
ejpam-5750	62	1	u(x	ORG
ejpam-5750	62	2	0	CARDINAL
ejpam-5750	62	3	2π	CARDINAL
ejpam-5750	62	4	− y|dµ(y	PERCENT
ejpam-5750	62	5	ω	CARDINAL
ejpam-5750	63	1	0	CARDINAL
ejpam-5750	64	1	u(x	ORG
ejpam-5750	65	1	f(x	ORG
ejpam-5750	65	2	ω	ORDINAL
ejpam-5750	65	3	ω	ORG
ejpam-5750	65	4	∫ ω	ORG
ejpam-5750	65	5	∂n+	ORG
ejpam-5750	66	1	r2	GPE
ejpam-5750	66	2	∫ ∂ω ∂u	ORG
ejpam-5750	67	1	= lim m−→∞ ∫ ∂ωm ∂u ∂n+ds	PERSON
ejpam-5750	68	1	subharmonic	ORG
ejpam-5750	68	2	r2	GPE
ejpam-5750	69	1	2	CARDINAL
ejpam-5750	70	1	∆sn −→ ∆s	PERSON
ejpam-5750	70	2	lim	PERSON
ejpam-5750	70	3	sn	ORG
ejpam-5750	70	4	s. 3.	ORG
ejpam-5750	70	5	subharmonic	ORG
ejpam-5750	70	6	subharmonic	ORG
ejpam-5750	70	7	r2	PRODUCT
ejpam-5750	71	1	9	CARDINAL
ejpam-5750	71	2	10	CARDINAL
ejpam-5750	71	3	1 2π∆s(x)dx	CARDINAL
ejpam-5750	75	1	1	CARDINAL
ejpam-5750	77	1	11	CARDINAL
ejpam-5750	80	1	subharmonic	ORG
ejpam-5750	80	2	smyrna c.	GPE
ejpam-5750	80	3	n. nathiya	ORG
ejpam-5750	81	1	j. pure	PERSON
ejpam-5750	81	2	18	CARDINAL
ejpam-5750	81	3	2	CARDINAL
ejpam-5750	81	4	2025	CARDINAL
ejpam-5750	81	5	5750 4 of 9	DATE
ejpam-5750	82	1	subharmonic	ORG
ejpam-5750	82	2	0	CARDINAL
ejpam-5750	82	3	0	CARDINAL
ejpam-5750	83	1	r2	GPE
ejpam-5750	83	2	e∗	ORG
ejpam-5750	84	1	1	CARDINAL
ejpam-5750	85	1	subharmonic	ORG
ejpam-5750	85	2	u(x	ORG
ejpam-5750	88	1	dλ(x	PERSON
ejpam-5750	90	1	subharmonic	ORG
ejpam-5750	90	2	0	CARDINAL
ejpam-5750	90	3	subharmonic	ORG
ejpam-5750	90	4	v(z	ORG
ejpam-5750	90	5	σ(x	ORG
ejpam-5750	90	6	v(z	ORG
ejpam-5750	93	1	2	CARDINAL
ejpam-5750	94	1	0	CARDINAL
ejpam-5750	94	2	2	CARDINAL
ejpam-5750	95	1	λ(e	PERSON
ejpam-5750	95	2	2	CARDINAL
ejpam-5750	97	1	e∗	ORG
ejpam-5750	98	1	converse	PERSON
ejpam-5750	98	2	dλ(x	PERSON
ejpam-5750	98	3	∈	ORG
ejpam-5750	98	4	ν(a	GPE
ejpam-5750	99	1	∩	WORK_OF_ART
ejpam-5750	100	1	ν	NORP
ejpam-5750	103	1	− y|dν(y	PERSON
ejpam-5750	103	2	subharmonic	ORG
ejpam-5750	103	3	r2	GPE
ejpam-5750	104	1	∃	ORG
ejpam-5750	105	1	s(z	PERSON
ejpam-5750	106	1	v(z	ORG
ejpam-5750	107	1	v(z	PERSON
ejpam-5750	111	1	u(x	ORG
ejpam-5750	111	2	∫	ORG
ejpam-5750	111	3	dλ(x	PERSON
ejpam-5750	113	1	subharmonic	ORG
ejpam-5750	115	1	1 4	DATE
ejpam-5750	115	2	u(x	ORG
ejpam-5750	115	3	subharmonic	ORG
ejpam-5750	116	1	subharmonic	ORG
ejpam-5750	116	2	0	CARDINAL
ejpam-5750	116	3	u(x	ORG
ejpam-5750	117	1	12	CARDINAL
ejpam-5750	118	1	smyrna c.	PERSON
ejpam-5750	118	2	n. nathiya	ORG
ejpam-5750	119	1	j. pure	PERSON
ejpam-5750	119	2	18	CARDINAL
ejpam-5750	119	3	2	CARDINAL
ejpam-5750	119	4	2025	CARDINAL
ejpam-5750	119	5	5750 5	CARDINAL
ejpam-5750	119	6	9	CARDINAL
ejpam-5750	119	7	2	CARDINAL
ejpam-5750	120	1	subharmonic	ORG
ejpam-5750	123	1	s(x)]−α	ORG
ejpam-5750	123	2	1	CARDINAL
ejpam-5750	127	1	α1	CARDINAL
ejpam-5750	128	1	s(x)+α1	PERSON
ejpam-5750	129	1	s1(x)+α	ORG
ejpam-5750	129	2	two	CARDINAL
ejpam-5750	131	1	2	CARDINAL
ejpam-5750	132	1	subharmonic	ORG
ejpam-5750	132	2	2	CARDINAL
ejpam-5750	133	1	r2	GPE
ejpam-5750	134	1	h(x	GPE
ejpam-5750	136	1	|x| + b(x	PERSON
ejpam-5750	140	1	h(x	PERSON
ejpam-5750	142	1	|x|	ORG
ejpam-5750	142	2	subharmonic	ORG
ejpam-5750	142	3	r2	ORG
ejpam-5750	143	1	k. hence s(x	PERSON
ejpam-5750	145	1	k log |x	PERSON
ejpam-5750	145	2	− y|dµ(y	PERCENT
ejpam-5750	146	1	r2	LOC
ejpam-5750	150	1	µ(k)−	ORG
ejpam-5750	152	1	h(x	PERSON
ejpam-5750	153	1	+ α1	QUANTITY
ejpam-5750	154	1	1 2πr	TIME
ejpam-5750	154	2	2π∫	CARDINAL
ejpam-5750	154	3	0	CARDINAL
ejpam-5750	157	1	h(x	PERSON
ejpam-5750	158	1	0	CARDINAL
ejpam-5750	164	1	∥µ∥	DATE
ejpam-5750	164	2	2	CARDINAL
ejpam-5750	166	1	0	CARDINAL
ejpam-5750	166	2	smyrna c.	PERSON
ejpam-5750	166	3	n. nathiya	ORG
ejpam-5750	167	1	j. pure	PERSON
ejpam-5750	167	2	18	CARDINAL
ejpam-5750	167	3	2	CARDINAL
ejpam-5750	167	4	2025	CARDINAL
ejpam-5750	167	5	5750 6	CARDINAL
ejpam-5750	167	6	9	CARDINAL
ejpam-5750	170	1	1	CARDINAL
ejpam-5750	172	1	0	CARDINAL
ejpam-5750	173	1	1	CARDINAL
ejpam-5750	177	1	0	CARDINAL
ejpam-5750	183	1	|x− y|dµ|y|+h(x	PERSON
ejpam-5750	183	2	r2	GPE
ejpam-5750	184	1	∫	ORG
ejpam-5750	184	2	|x− y|dµ(y)−∥µ∥ log |x| = b1(x	PERSON
ejpam-5750	185	1	∥µ∥ − α	PERSON
ejpam-5750	188	1	one	CARDINAL
ejpam-5750	192	1	0	CARDINAL
ejpam-5750	192	2	2	CARDINAL
ejpam-5750	193	1	f(x	ORG
ejpam-5750	193	2	two	CARDINAL
ejpam-5750	193	3	subharmonic	ORG
ejpam-5750	195	1	subharmonic	ORG
ejpam-5750	195	2	r2	ORG
ejpam-5750	198	1	3	CARDINAL
ejpam-5750	198	2	subharmonic	ORG
ejpam-5750	199	1	k.	PERSON
ejpam-5750	199	2	k. proof	PERSON
ejpam-5750	200	1	r.	NORP
ejpam-5750	200	2	sn	ORG
ejpam-5750	200	3	sn	ORG
ejpam-5750	202	1	smyrna c.	PERSON
ejpam-5750	202	2	n. nathiya	ORG
ejpam-5750	203	1	j. pure	PERSON
ejpam-5750	203	2	18	CARDINAL
ejpam-5750	203	3	2	CARDINAL
ejpam-5750	203	4	2025	CARDINAL
ejpam-5750	203	5	5750 7	DATE
ejpam-5750	203	6	subharmonic	ORG
ejpam-5750	203	7	3	CARDINAL
ejpam-5750	204	1	two	CARDINAL
ejpam-5750	204	2	r2	GPE
ejpam-5750	205	1	1	CARDINAL
ejpam-5750	205	2	2	DATE
ejpam-5750	212	1	2πrα1	CARDINAL
ejpam-5750	213	1	2πrα2	CARDINAL
ejpam-5750	216	1	2πα1	CARDINAL
ejpam-5750	219	1	ω	ORG
ejpam-5750	219	2	r2 ∫	ORG
ejpam-5750	220	1	∂n+ds	NORP
ejpam-5750	221	1	subharmonic	ORG
ejpam-5750	221	2	c2-subharmonic	ORG
ejpam-5750	221	3	2	CARDINAL
ejpam-5750	222	1	subharmonic	ORG
ejpam-5750	223	1	9	CARDINAL
ejpam-5750	224	1	ω	ORDINAL
ejpam-5750	224	2	∂n+	ORG
ejpam-5750	224	3	4	CARDINAL
ejpam-5750	225	1	subharmonic	ORG
ejpam-5750	231	1	+ 1	DATE
ejpam-5750	232	1	vr(x	PERSON
ejpam-5750	233	1	r2	GPE
ejpam-5750	233	2	vr(x	WORK_OF_ART
ejpam-5750	233	3	subharmonic	ORG
ejpam-5750	233	4	r2 and∫ |x|<r+2	ORG
ejpam-5750	235	1	ds = ∫ |x|<r+2 ∆v(x)dx amulya	ORG
ejpam-5750	235	2	smyrna c.	GPE
ejpam-5750	235	3	n. nathiya	ORG
ejpam-5750	236	1	j. pure	PERSON
ejpam-5750	236	2	18	CARDINAL
ejpam-5750	236	3	2	CARDINAL
ejpam-5750	236	4	2025	CARDINAL
ejpam-5750	236	5	5750 8 of 9	DATE
ejpam-5750	236	6	vr(x	WORK_OF_ART
ejpam-5750	236	7	subharmonic	ORG
ejpam-5750	236	8	f(x	ORG
ejpam-5750	237	1	lim r→∞ vr(x	PERSON
ejpam-5750	237	2	subharmonic	ORG
ejpam-5750	237	3	r.	NORP
ejpam-5750	237	4	f(x	ORG
ejpam-5750	238	1	subharmonic	ORG
ejpam-5750	238	2	r2 h(x	GPE
ejpam-5750	239	1	lim r→∞	PERSON
ejpam-5750	239	2	f(x	ORG
ejpam-5750	240	1	f(x	ORG
ejpam-5750	242	1	|x| + b(x	PERSON
ejpam-5750	243	1	f(x	ORG
ejpam-5750	245	1	3	CARDINAL
ejpam-5750	246	1	two	CARDINAL
ejpam-5750	246	2	subharmonic	ORG
ejpam-5750	256	1	zeros	CARDINAL
ejpam-5750	256	2	subharmonic	ORG
ejpam-5750	257	1	subharmonic	ORG
ejpam-5750	259	1	subharmonic	ORG
ejpam-5750	259	2	∥µ∥	PERSON
ejpam-5750	260	1	subharmonic	ORG
ejpam-5750	262	1	smyrna c.	PERSON
ejpam-5750	262	2	n. nathiya	ORG
ejpam-5750	263	1	j. pure	PERSON
ejpam-5750	263	2	18	CARDINAL
ejpam-5750	263	3	2	CARDINAL
ejpam-5750	263	4	2025	CARDINAL
ejpam-5750	263	5	5750 9	DATE
ejpam-5750	263	6	9	CARDINAL
ejpam-5750	263	7	smyrna	GPE
ejpam-5750	263	8	n. nathiya	ORG
ejpam-5750	263	9	subharmonic	ORG
ejpam-5750	264	1	1	CARDINAL
ejpam-5750	264	2	david h armitage	PERSON
ejpam-5750	264	3	stephen j gardiner	PERSON
ejpam-5750	266	1	2012	DATE
ejpam-5750	267	1	2	CARDINAL
ejpam-5750	268	1	de la théorie classique du potentiel	ORG
ejpam-5750	269	1	1959	DATE
ejpam-5750	270	1	3	CARDINAL
ejpam-5750	270	2	la verne helms et	PERSON
ejpam-5750	272	1	2009	DATE
ejpam-5750	273	1	4	CARDINAL
ejpam-5750	275	1	28	CARDINAL
ejpam-5750	276	1	cambridge university press	ORG
ejpam-5750	276	2	1995	DATE
ejpam-5750	277	1	5	CARDINAL
ejpam-5750	277	2	victor anandam	PERSON
ejpam-5750	278	1	espaces harmoniques sans potentiel positif	ORG
ejpam-5750	279	1	annales de l’institut	ORG
ejpam-5750	279	2	22	CARDINAL
ejpam-5750	279	3	1972	DATE
ejpam-5750	280	1	6	CARDINAL
ejpam-5750	280	2	superharmonic	NORP
ejpam-5750	281	1	london	GPE
ejpam-5750	281	2	2(1):65–78, 1979	DATE
ejpam-5750	282	1	7	CARDINAL
ejpam-5750	284	1	1966	DATE
ejpam-5750	285	1	8	CARDINAL
ejpam-5750	285	2	joel m cohen	PERSON
ejpam-5750	285	3	flavia colonna	PERSON
ejpam-5750	285	4	david singman	PERSON
ejpam-5750	287	1	hiroshima mathematical journal	ORG
ejpam-5750	287	2	2008	DATE
ejpam-5750	288	1	9	CARDINAL
ejpam-5750	288	2	walter rudin	PERSON
ejpam-5750	289	1	subharmonic	ORG
ejpam-5750	290	1	the cambridge philosophical society	ORG
ejpam-5750	290	2	120	CARDINAL
ejpam-5750	290	3	347–354	CARDINAL
ejpam-5750	291	1	cambridge university press	ORG
ejpam-5750	291	2	1996	DATE
ejpam-5750	292	1	10	CARDINAL
ejpam-5750	292	2	walter kurt	PERSON
ejpam-5750	292	3	patrick brendan kennedy	PERSON
ejpam-5750	292	4	subharmonic	ORG
ejpam-5750	292	5	w. k. hayman	PERSON
ejpam-5750	293	1	b. kennedy	PERSON
ejpam-5750	295	1	9	CARDINAL
ejpam-5750	295	2	20	DATE
ejpam-5750	296	1	london	GPE
ejpam-5750	296	2	1976	DATE
ejpam-5750	297	1	11	CARDINAL
ejpam-5750	297	2	sheldon axler	PERSON
ejpam-5750	297	3	paul bourdon	PERSON
ejpam-5750	297	4	ramey wade	ORG
ejpam-5750	298	1	137	CARDINAL
ejpam-5750	299	1	springer science & business media	ORG
ejpam-5750	299	2	2013	DATE
ejpam-5750	300	1	12	CARDINAL
ejpam-5750	300	2	victor anandam	PERSON
ejpam-5750	300	3	subharmonic	ORG
ejpam-5750	300	4	american	NORP
ejpam-5750	300	5	84(1):52–54, 1982	DATE