Resonant Robin problems driven by the p-Laplacian plus an indefinite potential

Nikolaos Socrates Papageorgiou (Author), Vicenţiu Rǎdulescu (Author), Dušan Repovš (Author)

Abstract

We consider a nonlinear Robin problems driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical gropus we prove existence and multiplicity theorems.

Keywords

p-Laplacian;indefinite potential;resonance;strong resonance;variational eigenvalue;nonlinear regularity;critical groups;Robin boundary condition;

Data

Language:	English
Year of publishing:	2018
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	517.956.2
COBISS:	18238809
ISSN:	1239-629X
Views:	474
Downloads:	274
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	str. 483-508
Volume:	ǂVol. ǂ43
Issue:	ǂfasc. ǂ1
Chronology:	2018
DOI:	10.5186/aasfm.2018.4331
ID:	11206806