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

Abstract

We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. Using variational methods, together with truncation and perturbation techniques and critical groups, we produce three nontrivial solutions with sign information. In the semilinear case we improve this result by obtaining a second nodal solution for a total of four nontrivial solutions. Finally, under a symmetry condition on the reaction term, we generate a whole sequence of distinct nodal solutions.

Keywords

nonhomogeneous differential operator;nonlinear regularity theory;constant sign and nodal solutions;infinitely many nodal solutions;critical groups;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956.2
COBISS: 18436441 Link will open in a new window
ISSN: 0095-4616
Views: 472
Downloads: 200
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Other data

Type (COBISS): Article
Pages: str. 823-857
Volume: ǂVol. ǂ81
Issue: ǂiss. ǂ3
Chronology: June 2020
DOI: 10.1007/s00245-018-9521-x
ID: 11779593