Back to Search
Start Over
Constant sign and nodal solutions for nonhomogeneous Robin boundary value problems with asymmetric reactions
- Publication Year :
- 2017
-
Abstract
- We study a nonlinear, nonhomogeneous elliptic equation with an asymmetric reaction term depending on a positive parameter, coupled with Robin boundary conditions. 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.<br />Comment: 22 pages
- Subjects :
- Mathematics - Analysis of PDEs
35J20, 35J60, 58E05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1710.06762
- Document Type :
- Working Paper