Ground state solutions of non-linear singular Schrödinger equations with lack of compactness

DOI10.1002/mma.403zbMath1107.35102OpenAlexW2159212868MaRDI QIDQ4422605

Mihai Mihăilescu, Vicenţiu D. Rădulescu

Publication date: 20 August 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.403

zbMATH Keywords

nonlinear Schrödinger equationsingular potentialCaffarelli--Kohn--Nirenberg inequalityentire weak solution

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (13)

Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential ⋮ Existence of nontrivial solutions for singular quasilinear elliptic equations on \(\mathbb R^N\) ⋮ EXISTENCE RESULT FOR NONUNIFORMLY DEGENERATE SEMILINEAR ELLIPTIC SYSTEMS IN^N ⋮ Multiple solutions for \(p\)-Kirchhoff equations in \(\mathbb R^N\) ⋮ On isolated singular solutions of semilinear Helmholtz equation ⋮ Infinite sharp conditions by Nehari manifolds for nonlinear Schrödinger equations ⋮ Existence of solutions for a class of singular quasilinear elliptic equations ⋮ On the regularity forp-Laplace Schrödinger equations with singular potentials ⋮ On the existence of weak solutions for a degenerate and singular elliptic system in \(\mathbb R^{N }\) ⋮ Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations ⋮ Nonlinear, degenerate and singular eigenvalue problems on \(\mathbb R^N\) ⋮ On a class of degenerate and singular elliptic systems in bounded domains ⋮ Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth

Cites Work

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• Boundary value problems for some degenerate-elliptic operators
• Evolution theorem for a class of perturbed envelope soliton solutions
• Time-dependent dissipation in nonlinear Schrödinger systems

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