Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces

Autor: Kaye Silva, Marcos L. M. Carvalho, Jose V. A. Goncalves, Edcarlos D. Silva
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Topol. Methods Nonlinear Anal. 54, no. 2A (2019), 587-612
Popis: In the paper the existence, uniqueness and the multiplicity of solutions for a quasilinear elliptic problems driven by the $\Phi$-Laplacian operator is established. Here we consider the non-reflexive case taking into account the Orlicz and Orlicz-Sobolev framework. The non-reflexive case occurs when the $N$-function $\widetilde{\Phi}$ does not verify the $\Delta_{2}$-condition. In order to prove our main results we employ variational methods, regularity results and truncation arguments.
Databáze: OpenAIRE