1. Non-homogeneous Dirichlet problems with concave-convex reaction
- Author
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Bonanno G., Livrea R., Radulescu V. D., Bonanno G., Livrea R., and Radulescu V.D.
- Subjects
nonlinear elliptic problem ,multiple solutions ,Variational methods ,p-Laplace operator ,Settore MAT/05 - Analisi Matematica ,General Mathematics ,critical point - Abstract
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.
- Published
- 2022
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