Schrödinger equations with critical nonlinearity, singular potential and a ground state

DOI10.1016/j.jde.2010.04.004zbMath1192.35061OpenAlexW2093558395MaRDI QIDQ982513

Kyril Tintarev, João Marcos Bezerra do Ó, David Goldstein Costa

Publication date: 7 July 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.04.004

zbMATH Keywords

minimaxcritical pointsnonlinear Schrödinger equationssign-changing solutionsHardy potentialcriticality theorygeneralized ground statelinking geometry

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

Related Items (1)

Concentration-compactness for singular nonlocal Schrödinger equations with oscillatory nonlinearities

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