(p,2)-equations asymmetric at both zero and infinity

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

Abstract

We consider a ▫$(p,2)$▫-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a ▫$p$▫-Laplacian and a Laplacian with ▫$p>2$▫. The reaction term is ▫$(p-1)$▫-linear, but exhibits asymmetric behavior at ▫$\pm \infty$▫ and at ▫$0^\pm$▫. Using variational tools, together with truncation and comparison techniques and Morse theory, we prove two multiplicity theorems, one of them providing sign information for all the solutions (positive, negative, nodal).

Keywords

asymmetric reaction;resonance;Fučik spectrum;constant sign solutions;nodal solution;critical groups;Morse relation;

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:	18174297
ISSN:	2191-9496
Views:	479
Downloads:	271
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	str. 327-351
Volume:	ǂVol. ǂ7
Issue:	ǂiss. ǂ3
Chronology:	2018
DOI:	10.1515/anona-2017-0195
ID:	11207989