Deformation Argument under PSP Condition and Applications

DOI10.4208/ATA.2021.PR80.03zbMath1488.35078OpenAlexW3156507185MaRDI QIDQ3380774

Kazunaga Tanaka, Silvia Cingolani

Publication date: 29 September 2021

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/ata.2021.pr80.03

zbMATH Keywords

deformation theoryradially symmetric solutionsnonlinear elliptic equationsstriplike domainsPokhozhaev functional

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (7)

On fractional Schrödinger equations with Hartree type nonlinearities ⋮ Existence of a positive solution for some quasilinear elliptic equations in \(\mathbb{R}^N\) ⋮ Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations ⋮ Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations ⋮ Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities ⋮ Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities ⋮ Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities

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