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Multiple solutions for elliptic problems with singular and sublinear potentials
Author(s):
Alexandru
Kristály;
Csaba
Varga
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2121-2126.
MSC (2000):
Primary 35J60, 35J65
Posted:
February 6, 2007
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Abstract:
For certain positive numbers  and  we establish the multiplicity of solutions to the problem where  is a bounded open domain in  containing the origin with smooth boundary  while  is continuous, superlinear at zero and sublinear at infinity.
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Additional Information:
Alexandru
Kristály
Affiliation:
University of Babes-Bolyai, Faculty of Economics, Str. Teodor Mihali 58-60, RO-400591, Cluj Napoca, Romania
Email:
alexandrukristaly@yahoo.com
Csaba
Varga
Affiliation:
University of Babes-Bolyai, Faculty of Mathematics and Computer Science, Str. Kogalniceanu 1, RO-400084, Cluj-Napoca, Romania
Email:
csvarga@math.ubbcluj.ro
DOI:
10.1090/S0002-9939-07-08715-1
PII:
S 0002-9939(07)08715-1
Keywords:
Singular potential,
sublinearity at infinity,
multiple solutions
Received by editor(s):
November 29, 2005
Received by editor(s) in revised form:
March 15, 2006
Posted:
February 6, 2007
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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