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.

Bonanno G., Livrea R., Radulescu V.D. (2021). Non-homogeneous Dirichlet problems with concave-convex reaction. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 32(4), 799-818 [10.4171/RLM/959].

Non-homogeneous Dirichlet problems with concave-convex reaction

Livrea R.;
2021-01-01

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.
Settore MAT/05 - Analisi Matematica
https://ems.press/journals/rlm/articles/4719687
Bonanno G., Livrea R., Radulescu V.D. (2021). Non-homogeneous Dirichlet problems with concave-convex reaction. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 32(4), 799-818 [10.4171/RLM/959].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/574165
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