Concentrating solutions of some singularly perturbed elliptic equations
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Publication:942948
DOI10.1007/s11464-008-0015-zzbMath1149.35311OpenAlexW2039976896MaRDI QIDQ942948
Publication date: 8 September 2008
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-008-0015-z
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Resonance in context of PDEs (35B34) Continuation and prolongation of solutions to PDEs (35B60)
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Cites Work
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- On the boundary spike layer solutions to a singularly perturbed Neumann problem
- The semiclassical limit of the nonlinear Schrödinger equation in a radial potential
- Foliation by constant mean curvature spheres
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Foliations by constant mean curvature tubes
- Concentration on minimal submanifolds for a singularly perturbed Neumann problem
- Boundary-clustered interfaces for the Allen-Cahn equation
- Large amplitude stationary solutions to a chemotaxis system
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Existence of solitary waves in higher dimensions
- On the existence of multiple, single-peaked solutions for a semilinear Neumann problem
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
- Some results on a class of nonlinear Schrödinger equations
- Concentration around a sphere for a singularly perturbed Schrödinger equation
- Multiple clustered layer solutions for semilinear Neumann problems on a ball
- Multipeak solutions for a singularly perturbed Neumann problem
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Multipeak solutions for a semilinear Neumann problem
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- A semilinear Schrödinger equation in the presence of a magnetic field
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Multiple boundary peak solutions for some singularly perturbed Neumann problems
- Constant mean curvature foliation: Singularity structure and curvature estimate
- Semiclassical symmetric Schrödinger equations: existence of solutions concentrating simultaneously on several spheres
- Boundary interface for the Allen-Cahn equation
- Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity
- Concentration phenomena for solutions of superlinear elliptic problems
- Constant mean curvature hypersurfaces condensing on a submanifold
- Concentration on curves for nonlinear Schrödinger Equations
- A new type of concentration solutions for a singularly perturbed elliptic problem
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On a singularly perturbed equation with neumann boundary condition
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- The chemical basis of morphogenesis
- A positive solution for a nonlinear Schroedinger equation on R^N
- On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems
- Boundary concentration phenomena for a singularly perturbed elliptic problem
- Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II
- Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
- Stability of least energy patterns of the shadow system for an activator-inhibitor model.
- Multiplicity results for some nonlinear Schrödinger equations with potentials
