Existence and nonexistence of the ground state solutions for nonlinear Schrödinger equations with nonperiodic nonlinearities
From MaRDI portal
Publication:2909664
DOI10.1002/mana.201100170zbMath1256.35143OpenAlexW2109735331MaRDI QIDQ2909664
Junxiang Xu, Fubao Zhang, Lixin Tian, Jun Wang
Publication date: 6 September 2012
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201100170
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items
Existence of positive and sign-changing solutions to a coupled elliptic system with mixed nonlinearity growth ⋮ Positive solutions for Schrödinger system with asymptotically periodic potentials ⋮ Ground states for irregular and indefinite superlinear Schrödinger equations ⋮ On a class of semilinear Schrödinger equations with indefinite linear part
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a periodic Schrödinger equation with nonlocal superlinear part
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
- Solutions of elliptic problems with nonlinearities of linear growth
- Solutions for periodic Schrödinger equation with spectrum zero and general superlinear nonlinearities
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Ground states of nonlinear Schrödinger equations with potentials
- Bifurcation for some non-Fréchet differentiable problems
- Ground state solutions for some indefinite variational problems
- Positive solutions of some nonlinear elliptic problems in exterior domains
- Existence of solutions for semilinear elliptic equations with indefinite linear part
- Existence of solitary waves in higher dimensions
- On a nonlinear Schrödinger equation with periodic potential
- Guidance properties of nonlinear planar waveguides
- Solutions in spectral gaps for a nonlinear equation of Schrödinger type
- On the number of solutions of nonlinear Schrödinger equations and on unique continuation
- Multiple solutions for a class of nonlinear Schrödinger equations
- Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity
- Some existence results of solutions for the semilinear elliptic equations on \(\mathbb{R}^ N\)
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Dual variational methods in critical point theory and applications
- Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\)
- On a semilinear Schrödinger equation with critical Sobolev exponent
- Schrödinger semigroups
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
- On decay of solutions to nonlinear Schrödinger equations
- Infinitely many homoclinic orbits of a Hamiltonian system with symmetry
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On a Schrodinger equation with periodic potential and spectrum point zero
- Nontrivial solution of a semilinear schrödinger equation
- AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
- Hadamard differentiability and bifurcation
