A global minimization trick to solve some classes of Berestycki-Lions type problems

DOI10.1007/S00032-022-00360-3zbMath1506.35073arXiv1907.05952OpenAlexW2959816462MaRDI QIDQ2107602

Claudianor Oliveira Alves

Publication date: 2 December 2022

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05952

zbMATH Keywords

nonsmooth analysisvariational methodsnonlinear elliptic equations

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60)

Cites Work

• Unnamed Item
• Existence of a ground state solution for a nonlinear scalar field equation with critical growth
• The principle of symmetric criticality
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
• Ground state solutions for fractional scalar field equations under a general critical nonlinearity
• A Berestycki-Lions type result and applications
• General class of optimal Sobolev inequalities and nonlinear scalar field equations
• Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
• A BERESTYCKI–LIONS THEOREM REVISITED
• Optimization and nonsmooth analysis
• A New Approach to Lagrange Multipliers
• A remark on least energy solutions in $\mathbf {R}^N$
• Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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