A critical nonlinear fractional elliptic equation with saddle-like potential in $\mathbb{R}^N$ (Q2820866)

scientific article; zbMATH DE number 6626300

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English	A critical nonlinear fractional elliptic equation with saddle-like potential in $\mathbb{R}^N$	scientific article; zbMATH DE number 6626300

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instance of

scholarly article

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published in

Journal of Mathematical Physics

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publication date

12 September 2016

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full work available at URL

https://arxiv.org/abs/1506.06533

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Existence of a positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in ${\mathbb{R}^{2}}$

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Nonlinear perturbations of a periodic elliptic problem with critical growth.

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Local mountain-pass for a class of elliptic problems in $\mathbb R^N$ involving critical growth

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Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization Method

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On existence and concentration behavior of ground state solutions for a class of problems with critical growth.

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NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL

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Existence and multiplicity results for some superlinear elliptic problems on RN

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Existence of positive solutions of the equation $-\Delta u+a(x)u=u^{(N+2)/(N-2)}$ in ${\mathbb{R}}^ N$

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A concave-convex elliptic problem involving the fractional Laplacian

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Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates

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An Extension Problem Related to the Fractional Laplacian

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Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian

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Concentration phenomenon for fractional nonlinear Schrödinger equations

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential

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Hitchhiker's guide to the fractional Sobolev spaces

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Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

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On a class of nonlinear Schrödinger equations in $\mathbb R^2$ involving critical growth

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Ground states and concentration phenomena for the fractional Schrödinger equation

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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

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Uniqueness of radial solutions for the fractional Laplacian

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

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On a class of nonlinear Schrödinger equations

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

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On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth

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On concentration of positive bound states of nonlinear Schrödinger equations

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title

A critical nonlinear fractional elliptic equation with saddle-like potential in $\mathbb{R}^N$ (English)

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Identifiers

zbMATH Open document ID

1346.35205

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DOI

10.1063/1.4959221

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2820866

A critical nonlinear fractional elliptic equation with saddle-like potential in \(\mathbb{R}^N\) (Q2820866)

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Identifiers

Sitelinks

Mathematics(1 entry)