A deformation theory in augmented spaces and concentration results for NLS equations around local maxima
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Publication:6601634
DOI10.1007/978-3-031-20021-2_16zbMATH Open1547.35038MaRDI QIDQ6601634
Silvia Cingolani, Kazunaga Tanaka
Publication date: 10 September 2024
Singular perturbations in context of PDEs (35B25) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Cites Work
- Unnamed Item
- Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential
- Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods
- Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations
- Nonlinear scalar field equations. I: Existence of a ground state
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Multiplicity and concentration results for local and fractional NLS equations with critical growth
- Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities
- A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems
- Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains
- Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well
- Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches
- Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- On the fractional NLS equation and the effects of the potential Well's topology
- Deformation Argument under PSP Condition and Applications
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- A remark on least energy solutions in $\mathbf {R}^N$
- Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation
- Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass
- Multiplicity results for some nonlinear Schrödinger equations with potentials
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