Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations
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Publication:3508040
DOI10.1090/S0002-9947-08-04348-1zbMath1167.35042MaRDI QIDQ3508040
Shusen Yan, Dao-Min Cao, Ezzat S. Noussair
Publication date: 27 June 2008
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
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Cites Work
- Unnamed Item
- On a class of nonlinear Schrödinger equations
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Existence and uniqueness results on single-peaked solutions of a semilinear problem
- On a singularly perturbed elliptic equation
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations
- Multiple positive solutions for a nonlinear Schrödinger equation
- On the existence of multipeak solutions for nonlinear field equations on \(\mathbb R^N\).
- Structure of positive radial solutions to scalar field equations with harmonic potential
- 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
- On the number of single-peak solutions of the nonlinear Schrödinger equation.
- Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Existence and symmetry of multi-bump solutions for nonlinear Schrödinger equations
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
- Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)a
- Uniqueness of standing waves for nonlinear Schrödinger equations
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Solutions with multiple peaks for nonlinear elliptic equations
- On Positive Multipeak Solutions of a Nonlinear Elliptic Problem
- Existence of Multi-bump Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Multiplicity results for some nonlinear Schrödinger equations with potentials
- A uniqueness result for a semilinear elliptic equation in symmetric domains
- On interacting bumps of semi-classical states of nonlinear Schrödinger equations.
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