Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
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Publication:2417238
DOI10.1515/anona-2017-0085zbMath1419.35012OpenAlexW2746305392MaRDI QIDQ2417238
Publication date: 12 June 2019
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2017-0085
Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61)
Related Items (23)
Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in \(\mathbb{R}^N \) ⋮ Construction of solutions for a critical problem with competing potentials via local Pohozaev identities ⋮ Construction of solutions for a critical Grushin problem with competing potentials ⋮ Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold ⋮ Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials ⋮ Existence and multiplicity of solutions for generalized quasilinear Schrödinger equations ⋮ Single‐peak solutions for a subcritical Schrödinger equation with non‐power nonlinearity ⋮ Infinitely many solutions for a critical Grushin-type problem via local Pohozaev identities ⋮ Cylindrical solutions for a critical Grushin-type equation via local Pohozaev identities ⋮ Normalized solutions for Choquard equations with general nonlinearities ⋮ Biharmonic conformal maps in dimension four and equations of Yamabe-type ⋮ Bubble solutions for Hénon type equation with nearly critical exponent in \(\mathbb{R}^N\) ⋮ Large number of bubble solutions for a fractional elliptic equation with almost critical exponents ⋮ Solutions of perturbed fractional Schrödinger-Poisson system with critical nonlinearity in \(\mathbb{R}^3 \) ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement ⋮ Bubbling above the threshold of the scalar curvature in dimensions four and five ⋮ Some recent work on biharmonic conformal maps ⋮ Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities ⋮ Multiple high energy solutions for fractional Schrödinger equation with critical growth ⋮ Normalized solutions for Schrödinger-Poisson equations with general nonlinearities ⋮ Stability and instability results for sign-changing solutions to second-order critical elliptic equations ⋮ Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case
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