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On a Robin problem with $p$-Laplacian and reaction bounded only from above
- Publication Year :
- 2014
-
Abstract
- The existence of three smooth solutions, one negative, one positive, and one nodal, to a homogeneous Robin problem with $p$-Laplacian and Carath\'eodory reaction is established. No sub-critical growth condition is taken on. Proofs exploit variational as well as truncation techniques. The case $p=2$ is separately examined, obtaining a further nodal solution via Morse's theory.
- Subjects :
- Mathematics - Analysis of PDEs
35J20, 35J60, 35J92
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1501.00152
- Document Type :
- Working Paper