6533b81ffe1ef96bd1278798
RESEARCH PRODUCT
Non-homogeneous Dirichlet problems with concave-convex reaction
Bonanno G.Livrea R.Radulescu V. D.subject
nonlinear elliptic problemmultiple solutionsVariational methodsp-Laplace operatorSettore MAT/05 - Analisi MatematicaGeneral Mathematicscritical pointdescription
The variational methods are adopted for establishing the existence of at least two nontrivial solutions for a Dirichlet problem driven by a non-homogeneous differential operator of p-Laplacian type. A large class of nonlinear terms is considered, covering the concave-convex case. In particular, two positive solutions to the problem are obtained under a (p -1)-superlinear growth at infinity, provided that a behaviour less than (p -1)-linear of the nonlinear term in a suitable set is requested.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-02-21 | Rendiconti Lincei - Matematica e Applicazioni |