Multi-bump solutions and multi-tower solutions for equations on \(\mathbb R^N\) (Q1029317)

scientific article; zbMATH DE number 5577361

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English	Multi-bump solutions and multi-tower solutions for equations on \(\mathbb R^N\)	scientific article; zbMATH DE number 5577361

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instance of

scholarly article

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title

Multi-bump solutions and multi-tower solutions for equations on \(\mathbb R^N\) (English)

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Journal of Functional Analysis

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publication date

10 July 2009

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zbMATH Keywords

semilinear Schrödinger equation

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multi-bump solution

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prescribed scalar curvature equation

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multi-tower solution

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jfa.2009.02.001

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cites work

Homoclinics: Poincaré-Melnikov type results via a variational approach

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Semiclassical states of nonlinear Schrödinger equations

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Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics

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Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods

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On the symmetric scalar curvature problem on \(S^n\)

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

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Multiplicity results for some nonlinear Schrödinger equations with potentials

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On the existence of a positive solution of semilinear elliptic equations in unbounded domains

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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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Standing waves with a critical frequency for nonlinear Schrödinger equations. II.

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On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)

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On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions.

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Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains

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Homoclinic type solutions for a semilinear elliptic PDE on ℝ<sup>n</sup>

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Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem

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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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Multi-peak bound states for nonlinear Schrödinger equations

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Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

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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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Refined asymptotics for constant scalar curvature metrics with isolated singularities

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

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Prescribing scalar curvature on \(\mathbb{S}^ 3\), \(\mathbb{S}^ 4\) and related problems

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On Nirenberg's problem and related topics

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Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I

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Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness

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On a singularly perturbed elliptic equation

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Multi-bump solutions for a semilinear Schroedinger equation

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Multi-bump type nodal solutions having a prescribed number of nodal domains. II.

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The scalar curvature problem on \(S^n\): An approach via Morse theory

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Multiple Solutions for the Scalar Curvature Problem on the Sphere

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

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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

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On a class of nonlinear Schrödinger equations

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Existence and symmetry of multi-bump solutions for nonlinear Schrödinger equations

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Identifiers

zbMATH Open document ID

1171.35114

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Mathematics Subject Classification ID

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10.1016/J.JFA.2009.02.001

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Sitelinks

Mathematics(1 entry)

mardi Publication:1029317