Uniqueness of ground states for a class of quasi-linear elliptic equations
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Publication:2867305
DOI10.1515/ana-2011-0001zbMath1277.35126arXiv1108.0207OpenAlexW2963780542MaRDI QIDQ2867305
Francesca Gladiali, Marco Squassina
Publication date: 11 December 2013
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.0207
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Generalized solutions to partial differential equations (35D99) Quasilinear elliptic equations (35J62)
Related Items (11)
Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth ⋮ A ground state solution for an asymptotically periodic quasilinear Schrödinger equation ⋮ Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity ⋮ Existence of a bound state solution for quasilinear Schrödinger equations ⋮ Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with \(H^{1}\)-supercritical exponent ⋮ On a bifurcation value related to quasi-linear Schrödinger equations ⋮ Uniqueness of limit flow for a class of quasi-linear parabolic equations ⋮ Existence of standing waves for quasi-linear Schrödinger equations on \(T^n\) ⋮ A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application ⋮ Nondegeneracy of the ground state for quasilinear Schrödinger equations ⋮ Multiple normalized solutions for quasi-linear Schrödinger equations
Cites Work
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- Bifurcations for quasilinear Schrödinger equations. I
- Uniqueness of ground states for quasilinear elliptic equations
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Existence of ground states for a modified nonlinear Schrödinger equation
- Stability and instability results for standing waves of quasi-linear Schrödinger equations
- Soliton solutions for quasilinear Schrödinger equations, I
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