Nehari-type ground state solutions for Schrödinger equations including critical exponent
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Publication:2349379
DOI10.1016/j.aml.2014.06.003zbMath1320.35167OpenAlexW2065551600MaRDI QIDQ2349379
Publication date: 22 June 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2014.06.003
Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (17)
Ground state solution for an autonomous nonlinear Schrödinger system ⋮ Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems ⋮ Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials ⋮ Existence of positive solutions to a linearly coupled Schrödinger system with critical exponent ⋮ Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb {R}^{N}\) ⋮ Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential ⋮ Ground-state solution for a class of biharmonic equations including critical exponent ⋮ Least energy nodal solution for quasilinear biharmonic equations with critical exponent in \(\mathbb{R}^N\) ⋮ On coupled systems of nonlinear Schrödinger equations with critical exponential growth ⋮ Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb R^N\) ⋮ Orbital instability of standing waves for the Klein-Gordon-Schrödinger system with quadratic-cubic nonlinearity ⋮ Nontrivial solutions and least energy nodal solutions for a class of fourth-order elliptic equations ⋮ Systems of coupled Schrödinger equations with sign-changing nonlinearities via classical Nehari manifold approach ⋮ Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials ⋮ Existence and multiplicity of solutions for semilinear elliptic systems with periodic potential ⋮ Multiple solutions to a linearly coupled elliptic system with critical exponents ⋮ GROUND STATE AND NODAL SOLUTIONS FOR A CLASS OF BIHARMONIC EQUATIONS WITH SINGULAR POTENTIALS
Cites Work
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- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
- Coupled nonlinear Schrödinger systems with potentials
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
- GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
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