Concentration phenomena for fractional elliptic equations involving exponential critical growth (Q329883)

scientific article; zbMATH DE number 6642518

Language	Label	Description	Also known as
English	Concentration phenomena for fractional elliptic equations involving exponential critical growth	scientific article; zbMATH DE number 6642518

Statements

instance of

scholarly article

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title

Concentration phenomena for fractional elliptic equations involving exponential critical growth (English)

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published in

Advanced Nonlinear Studies

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publication date

24 October 2016

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full work available at URL

https://arxiv.org/abs/1510.06926

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zbMATH Keywords

Trudinger-Moser inequality

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nonlinear Schrödinger equations

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variational methods

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mountain pass theorem

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lack of compactness

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critical growth

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fractional Laplacian

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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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On nonlinear perturbations of a periodic elliptic problem in $\mathbb R^2$ involving critical growth.

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Multiplicity of Positive Solutions For a Quasilinear Problem in IR<sup>N</sup> Via Penalization Method

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Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb {R}^N$ via penalization method

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Dual variational methods in critical point theory and applications

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On some critical problems for the fractional Laplacian operator

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Some Theorems on Stable Processes

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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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Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R<sup />

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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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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Elliptic equations in $R^ 2$ with nonlinearities in the critical growth range

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On nonlinear perturbations of a periodic fractional Schrödinger equation with critical exponential growth

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Hitchhiker's guide to the fractional Sobolev spaces

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Nonautonomous fractional problems with exponential growth

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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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Non-linear Schrödinger equation with non-local regional diffusion

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Uniqueness of non-linear ground states for fractional Laplacians in $\mathbb{R}$

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$1/2$-Laplacian problems with exponential nonlinearity

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On critical cases of Sobolev's inequalities

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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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Minimax theorems

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Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity

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Identifiers

zbMATH Open document ID

1488.35551

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Mathematics Subject Classification ID

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10.1515/ANS-2016-0097

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Sitelinks

Mathematics(1 entry)

mardi Publication:329883