Concentrating solitary waves for a class of singularly perturbed quasilinear Schrödinger equations with a general nonlinearity
From MaRDI portal
Publication:338653
DOI10.3934/mcrf.2016016zbMath1348.35065OpenAlexW2531074047MaRDI QIDQ338653
Publication date: 7 November 2016
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2016016
Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Multiple solutions of quasilinear Schrödinger equations with critical growth via penalization method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Bound states to critical quasilinear Schrödinger equations
- The existence and concentration of weak solutions to a class of \(p\)-Laplacian type problems in unbounded domains
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- Existence of soliton solutions for a quasilinear Schrödinger equation involving critical exponent in \(\mathbb R^N\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Solitary waves for a class of quasilinear Schrödinger equations in dimension two
- Regularity for a more general class of quasilinear equations
- On a class of nonlinear Schrödinger equations
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Semi-classical states for nonlinear Schrödinger equations
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
- Multi-peak bound states for nonlinear Schrödinger equations
- Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Quasilinear elliptic equations with critical growth via perturbation method
- Infinite dimensional Morse theory and multiple solution problems
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Soliton solutions for quasilinear Schrödinger equations. II.
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
- Dual variational methods in critical point theory and applications
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Stationary Solutions to Nonlinear Partial Differential Equations for the Classical Continuous Isotropic Heisenberg Model
- Standing waves for nonlinear Schrödinger equations involving critical growth
- Eigenvalue problems for quasilinear elliptic equations on RN
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)a
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Evolution theorem for a class of perturbed envelope soliton solutions
- Some properties of weak solutions of nonlinear scalar field equations
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Elliptic Partial Differential Equations of Second Order
- On a class of semilinear elliptic problems in ℝN with critical growth
- A positive solution for a nonlinear Schroedinger equation on R^N
- Soliton solutions for quasilinear Schrödinger equations, I
- A remark on least energy solutions in $\mathbf {R}^N$
- On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Quasilinear elliptic equations via perturbation method
- Quasilinear elliptic problems with critical exponents