The homogeneous Dirichlet problem for a partial differential inclusion involving the p-Laplace operator and depending on a parameter λ > 0 is investigated. The existence of three smooth solutions, a smallest positive, a biggest negative, and a nodal one, is obtained for any λ sufficiently large by combining variational methods with truncation techniques.

Positive, negative, and nodal solutions to elliptic differential inclusions depending on a parameter

IANNIZZOTTO, ANTONIO;
2013

Abstract

The homogeneous Dirichlet problem for a partial differential inclusion involving the p-Laplace operator and depending on a parameter λ > 0 is investigated. The existence of three smooth solutions, a smallest positive, a biggest negative, and a nodal one, is obtained for any λ sufficiently large by combining variational methods with truncation techniques.
Partial differential inclusion; p-Laplacian; sign-changing solution; non-smooth critical point theory; maximum principle
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/765764
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