The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations

DOI10.1016/J.NA.2020.112060zbMath1448.35246OpenAlexW3044445916MaRDI QIDQ2202214

Sergio Solimini, Giuseppe Devillanova

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.112060

zbMATH Keywords

symmetryvariational methodsmultiple solutionsscalar field equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Infinitely many positive solutions of nonlinear Schrödinger equations ⋮ Integral symmetry conditions ⋮ Normalized solutions to mass supercritical Schrödinger equations with negative potential ⋮ Min-max levels transition in parametrized elliptic problems on unbounded domains ⋮ Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations

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