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On a Robin problem with p-Laplacian and reaction bounded only from above
- Publication Year :
- 2016
-
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 :
- Pure mathematics
Robin problem
Truncation
General Mathematics
010102 general mathematics
Mathematical analysis
p-Laplacian
constant sign and nodal solutions
35J20, 35J60, 35J92
Mathematics::Spectral Theory
Mathematical proof
Morse code
01 natural sciences
law.invention
010101 applied mathematics
Mathematics - Analysis of PDEs
Homogeneous
law
Bounded function
FOS: Mathematics
0101 mathematics
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....1190e65973ff2e98ba519c99eb76def7