Existence and multiplicity of solutions for a singular semilinear elliptic problem in R^2
Using minimax methods we study the existence and multiplicity of nontrivial solutions for a singular class of semilinear elliptic nonhomogeneous equation where the potentials can change sign and the nonlinearities may be unbounded in $x$ and behaves like $exp(alpha s^2)$ when $|s|o+infty$. We es...
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Format: | Article |
Language: | English |
Published: |
Texas State University
2011-08-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2011/98/abstr.html |
Summary: | Using minimax methods we study the existence and multiplicity of nontrivial solutions for a singular class of semilinear elliptic nonhomogeneous equation where the potentials can change sign and the nonlinearities may be unbounded in $x$ and behaves like $exp(alpha s^2)$ when $|s|o+infty$. We establish the existence of two distinct solutions when the perturbation is suitable small. |
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ISSN: | 1072-6691 |