Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN). The proofs rely essentially on the Mountain Pass the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-02-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/BVP/2006/41295 |
| Summary: | The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN). The proofs rely essentially on the Mountain Pass theorem and on Ekeland's Variational principle. |
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| ISSN: | 1687-2762 1687-2770 |