The homogeneous Dirichlet problem for a partial differential inclusion involving the p-Laplace operator and depending on a positive parameter has been investigated. The existence of three smooth solutions, a smollest positive, a biggest negative, and a nodal one is obtained for any sufficiently large value of the parameter by combining variational methods with truncation techniques.
Positive, negative, and nodal solutions to elliptic differential inclusions depending on a parameter
MARANO, Salvatore Angelo;
2013-01-01
Abstract
The homogeneous Dirichlet problem for a partial differential inclusion involving the p-Laplace operator and depending on a positive parameter has been investigated. The existence of three smooth solutions, a smollest positive, a biggest negative, and a nodal one is obtained for any sufficiently large value of the parameter by combining variational methods with truncation techniques.File in questo prodotto:
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