Quasilinear elliptic problems with concave–convex nonlinearities
| Autor: | Claudiney Goulart, Marcos L. M. Carvalho, Edcarlos D. Silva |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
General Mathematics 010102 general mathematics Mathematical analysis Regular polygon Multiplicity (mathematics) Term (logic) 01 natural sciences 010101 applied mathematics Nonlinear system Operator (computer programming) Homogeneous p-Laplacian 0101 mathematics Ground state Mathematics |
| Zdroj: | Communications in Contemporary Mathematics. 19:1650050 |
| ISSN: | 1793-6683 0219-1997 |
| DOI: | 10.1142/s0219199716500504 |
| Popis: | In this paper, the existence and multiplicity of solutions for a quasilinear elliptic problem driven by the [Formula: see text]-Laplacian operator is established. These solutions are also built as ground state solutions using the Nehari method. The main difficulty arises from the fact that the [Formula: see text]-Laplacian operator is not homogeneous and the nonlinear term is indefinite. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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