Multiplicity of positive solutions for second order quasilinear equations

DOI10.21136/MB.2019.0051-18zbMath1474.35019OpenAlexW2952326107MaRDI QIDQ3297066

Dahmane Bouafia, Toufik Moussaoui, Donal O'Regan

Publication date: 2 July 2020

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2019.0051-18

zbMATH Keywords

mountain pass theoremPalais-Smale conditioncritical pointpositive solutionEkeland variational principle

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Variational principles in infinite-dimensional spaces (58E30) Boundary value problems in the complex plane (30E25) Optimality conditions for minimax problems (49K35) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• On the variational principle
• Minimax theorems
• Existence of solutions for a second order problem on the half-line via Ekeland's variational principle
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