Existence, multiplicity and concentration for a class of fractional $ p \& q $ Laplacian problems in $ \mathbb{R} ^{N} $ (Q2415190)

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English	Existence, multiplicity and concentration for a class of fractional $ p \& q $ Laplacian problems in $ \mathbb{R} ^{N} $	scientific article

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scholarly article

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title

Existence, multiplicity and concentration for a class of fractional $ p \& q $ Laplacian problems in $ \mathbb{R} ^{N} $ (English)

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author

Vincenzo Ambrosio

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Teresa Isernia

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Claudianor Oliveira Alves

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published in

Communications on Pure and Applied Analysis

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publication date

20 May 2019

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full work available at URL

https://arxiv.org/abs/1901.11016

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zbMATH Keywords

fractional $p \& q$ Laplacians

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variational methods

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Ljusternik-Schnirelmann theory

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MaRDI publication profile

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cites work

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A multiplicity result for a nonlinear fractional Schrödinger equation in $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition

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Multiplicity and Concentration of Positive Solutions for a Class of Quasilinear Problems

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On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator

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EXISTENCE AND CONCENTRATION OF SOLUTION FOR A NON-LOCAL REGIONAL SCHRÖDINGER EQUATION WITH COMPETING POTENTIALS

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Dual variational methods in critical point theory and applications

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Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

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Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method

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Q5742105

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Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in $\mathbb{R}^{N}$

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Existence of a Least Energy Nodal Solution for a Class of p&q-Quasilinear Elliptic Equations

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Existence, nonexistence, and multiplicity of solutions for the fractional $p\&q$-Laplacian equation in $\mathbb R^N$

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Nonlocal Harnack inequalities

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Local behavior of fractional $p$-minimizers

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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

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On the variational principle

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Existence of positive solutions for a class of $p\&q$ elliptic problems with critical growth on $\mathbb R^N$

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Existence and multiplicity of solutions for a class ofp&qelliptic problems with critical exponent

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A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $\mathbb{R}^N$

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Existence and symmetry result for fractional $p$-Laplacian in $\mathbb{R}^{n}$

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Minimax theorems

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Identifiers

zbMATH Open document ID

1412.35364

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DOI

10.3934/cpaa.2019091

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2415190

Existence, multiplicity and concentration for a class of fractional \( p \& q \) Laplacian problems in \( \mathbb{R} ^{N} \) (Q2415190)

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Mathematics(1 entry)