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

IANNIZZOTTO, ANTONIO;MARANO S. A;MOTREANU D.

2013-01-01

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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.