Zero mass case for a nonlinear elliptic equation in striplike domains

DOI10.1134/S0001434621010077zbMath1468.35072OpenAlexW3180511932MaRDI QIDQ2037629

Amin Esfahani

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010077

zbMATH Keywords

existencevariational methodselliptic equationsstriplike domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
• A compactness lemma
• A remark on least energy solutions in $\mathbf {R}^N$
• Nonlinear Elliptic Equations in Strip-Like Domains
• Variational Methods

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