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

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.
partial differential inclusion; p-Laplacian; sign-changing solutions
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/13931
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 9
social impact