Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities
DOI10.1007/s12220-022-00866-7zbMath1486.39023OpenAlexW4210425559MaRDI QIDQ2117472
Publication date: 21 March 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-00866-7
critical point theoryhomoclinic solutionexistence and multiplicityground-state solutionperiodic discrete nonlinear systemsign-changing mixed nonlinearity
Discrete version of topics in analysis (39A12) Difference operators (39A70) Growth, boundedness, comparison of solutions to difference equations (39A22) Boundary value problems for difference equations (39A27)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation
- Homoclinic solutions in non-periodic discrete \(\phi\)-Laplacian equations with mixed nonlinearities
- Ground state solutions for the periodic discrete nonlinear Schrödinger equations with superlinear nonlinearities
- Multibump solutions for discrete periodic nonlinear Schrödinger equations
- Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity
- Homoclinic solutions of a class of periodic difference equations with asymptotically linear nonlinearities
- Discrete nonlinear Schrödinger equations with superlinear nonlinearities
- On superlinear Schrödinger equations with periodic potential
- Standing waves for periodic discrete nonlinear Schrödinger equations with asymptotically linear terms
- Homoclinic solutions in periodic difference equations with saturable nonlinearity
- Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
- Discrete solitons for periodic discrete nonlinear Schrödinger equations
- Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry
- Solutions for discrete periodic Schrödinger equations with spectrum 0
- Gap solitons in periodic discrete Schrödinger equations with nonlinearity
- On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
- Gap solitons in periodic discrete nonlinear Schrödinger equations with saturable nonlinearities
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Existence of gap solitons in periodic discrete nonlinear Schrödinger equations
- Ground state solutions for some indefinite variational problems
- Guidance properties of nonlinear planar waveguides
- Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms
- Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities
- On variational and topological methods in nonlinear difference equations
- Nontrivial solutions for Schrödinger equation with local super-quadratic conditions
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials
- Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials
- Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
- Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach
- The use of Cerami sequences in critical point theory
- Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities
- Homoclinic solutions in periodic difference equations with mixed nonlinearities
- Ground states of a system of nonlinear Schrödinger equations with periodic potentials
- Ground State and Geometrically Distinct Solitons of Discrete Nonlinear Schrödinger Equations with Saturable Nonlinearities
- The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
- Deformation theorems on non-metrizable vector spaces and applications to critical point theory
- Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity
- On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity
- Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
- AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
- Multiple solutions for discrete periodic nonlinear Schrödinger equations
- Generalized Nehari manifold and semilinear Schrödinger equation with weak monotonicity condition on the nonlinear term
- Gap solitons in periodic discrete nonlinear Schrödinger equations
- HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD
This page was built for publication: Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities