Constant sign and nodal solutions for nonhomogeneous Robin boundary value problems with asymmetric reactions
Iannizzotto Antonio
;Marras Monica;
2018-01-01
Abstract
We study a nonlinear, nonhomogeneous elliptic equation with an asymmetric reaction term depending on a positive parameter, coupled with Robin boundary con- ditions. Under appropriate hypotheses on both the leading differential operator and the reaction, we prove that, if the parameter is small enough, the problem admits at least four nontrivial solutions: two of such solutions are positive, one is negative, and one is sign-changing. Our approach is variational, based on critical point theory, Morse theory, and truncation techniques.File | Size | Format | |
---|---|---|---|
Iannizzotto-Marras-Papageorgiou EJQTDE.pdf Solo gestori archivio
Type: versione editoriale
Size 514.07 kB
Format Adobe PDF
|
514.07 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.