RESONANT ROBIN PROBLEMS DRIVEN BY THE p-LAPLACIAN PLUS AN INDEFINITE POTENTIAL

被引：3

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

Repovs, Dusan D. ^{[4
,5
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

[4] Univ Ljubljana, Fac Educ, SI-1000 Ljubljana, Slovenia

[5] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2018年 / 43卷 / 01期

关键词：

BOUNDARY-VALUE-PROBLEMS; CRITICAL-POINT THEORY; NONTRIVIAL SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; NEUMANN PROBLEMS;

D O I：

10.5186/aasfm.2018.4331

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 groups we prove existence and multiplicity theorems.

引用

页码：483 / 508

页数：26

共 50 条

[1] Multiple solutions for resonant problems of the Robin p-Laplacian plus an indefinite potential
Papageorgiou, Nikolaos S.
Radulescu, Vicentiu D.
Repovs, Dusan D.
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (03)
[2] Multiple solutions for resonant problems of the Robin p-Laplacian plus an indefinite potential
Nikolaos S. Papageorgiou
Vicenţiu D. Rădulescu
Dušan D. Repovš
[J]. Calculus of Variations and Partial Differential Equations, 2017, 56
[3] Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential
Vetro, Calogero
[J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (04)
[4] Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential
Calogero Vetro
[J]. Analysis and Mathematical Physics, 2020, 10
[5] Concave-Convex Problems for the Robin p-Laplacian Plus an Indefinite Potential
Papageorgiou, Nikolaos S.
Scapellato, Andrea
[J]. MATHEMATICS, 2020, 8 (03)
[6] Semilinear Robin problems driven by the Laplacian plus an indefinite potential
Vetro, C.
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (04) : 573 - 587
[7] Resonant equations with the Neumann p-Laplacian plus an indefinite potential
Gasinski, Leszek
Papageorgiou, Nikolaos S.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 422 (02) : 1146 - 1179
[8] SMALL PERTURBATIONS OF ROBIN PROBLEMS DRIVEN BY THE p-LAPLACIAN PLUS A POSITIVE POTENTIAL
Bahrouni, Anouar
Radulescu, Vicentiu D.
Winkert, Patrick
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 57 (02) : 663 - 673
[9] Superlinear Neumann problems with the p-Laplacian plus an indefinite potential
Fragnelli, Genni
Mugnai, Dimitri
Papageorgiou, Nikolaos S.
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (02) : 479 - 517
[10] Superlinear Neumann problems with the p-Laplacian plus an indefinite potential
Genni Fragnelli
Dimitri Mugnai
Nikolaos S. Papageorgiou
[J]. Annali di Matematica Pura ed Applicata (1923 -), 2017, 196 : 479 - 517

← 1 2 3 4 5 →