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.
|Titolo:||Positive, negative, and nodal solutions to elliptic differential inclusions depending on a parameter|
|Data di pubblicazione:||2013|
|Appare nelle tipologie:||1.1 Articolo in rivista|