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Concentration of Solutions for Some Singularly Perturbed Neumann Problems (Q3653069)

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Language	Label	Description	Also known as
English	Concentration of Solutions for Some Singularly Perturbed Neumann Problems	scientific article

Statements

scholarly article

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Concentration of Solutions for Some Singularly Perturbed Neumann Problems (English)

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Andrea Malchiodi

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Geometric Analysis and PDEs

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publication date

18 December 2009

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zbMATH Keywords

Turing instability

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-642-01674-5_3

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Semiclassical states of nonlinear Schrödinger equations

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Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

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Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)

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Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I

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Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II

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Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity

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Multiplicity results for some nonlinear Schrödinger equations with potentials

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Dual variational methods in critical point theory and applications

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A semilinear Schrödinger equation in the presence of a magnetic field

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Concentration around a sphere for a singularly perturbed Schrödinger equation

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Semiclassical symmetric Schrödinger equations: existence of solutions concentrating simultaneously on several spheres

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The semiclassical limit of the nonlinear Schrödinger equation in a radial potential

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Nonlinear scalar field equations. I: Existence of a ground state

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Nonlinear scalar field equations. II: Existence of infinitely many solutions

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Standing waves with a critical frequency for nonlinear Schrödinger equations

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Instability results for reaction-diffusion equations with Neumann boundary conditions

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Nonexistence of single blow-up solutions for a nonlinear Schrödinger equation involving critical Sobolev exponent

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Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion

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Multipeak solutions for a singularly perturbed Neumann problem

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A new type of concentration solutions for a singularly perturbed elliptic problem

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On a class of solutions with non-vanishing angular momentum for nonlinear Schrödinger equations

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Semi-classical states for nonlinear Schrödinger equations

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Boundary spikes in the Gierer-Meinhardt system

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On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems

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Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).

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Concentration on curves for nonlinear Schrödinger Equations

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Some results on a class of nonlinear Schrödinger equations

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Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory

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Multipeak solutions for a semilinear Neumann problem

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On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems

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Multiple boundary peak solutions for some singularly perturbed Neumann problems

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The stability of spike solutions to the one-dimensional Gierer-Meinhardt model

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A positive solution for a nonlinear Schroedinger equation on R^N

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Rearrangements and convexity of level sets in PDE

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Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

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On a singularly perturbed equation with neumann boundary condition

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Large amplitude stationary solutions to a chemotaxis system

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On the number of interior peak solutions for a singularly perturbed Neumann problem

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Concentration on minimal submanifolds for a singularly perturbed Neumann problem

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Transition layer for the heterogeneous Allen-Cahn equation

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Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains

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Boundary concentration phenomena for a singularly perturbed elliptic problem

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Multidimensional boundary layers for a singularly perturbed Neumann problem

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Multiple clustered layer solutions for semilinear Neumann problems on a ball

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Boundary interface for the Allen-Cahn equation

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Asymptotic behavior and stability of solutions of semilinear diffusion equations

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Concentration phenomena for solutions of superlinear elliptic problems

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On the shape of least‐energy solutions to a semilinear Neumann problem

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Locating the peaks of least-energy solutions to a semilinear Neumann problem

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Stability of least energy patterns of the shadow system for an activator-inhibitor model.

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On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

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Semilinear Neumann boundary value problems on a rectangle

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Existence of solitary waves in higher dimensions

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The chemical basis of morphogenesis

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On the existence of multiple, single-peaked solutions for a semilinear Neumann problem

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On the boundary spike layer solutions to a singularly perturbed Neumann problem

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Concentration on lines for a singularly perturbed Neumann problem in two-dimensional domains

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Identifiers

zbMATH Open document ID

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10.1007/978-3-642-01674-5_3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3653069

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