Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension (Q2411119)

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English	Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension	scientific article

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scholarly article

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title

Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension (English)

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NoDEA. Nonlinear Differential Equations and Applications

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publication date

20 October 2017

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full work available at URL

https://arxiv.org/abs/1612.07914

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zbMATH Keywords

fractional Kirchhoff type problems

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ground state solutions

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profile decomposition

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MaRDI profile type

MaRDI publication profile

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cites work

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A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity

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Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

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

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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An Extension Problem Related to the Fractional Laplacian

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Existence theorems for entire solutions of stationary Kirchhoff fractional $p$-Laplacian equations

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Some remarks on non local elliptic and parabolic problems

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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A critical Kirchhoff type problem involving a nonlocal operator

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$p$-fractional Kirchhoff equations involving critical nonlinearities

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

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Existence and concentration behavior of positive solutions for a Kirchhoff equation in $\mathbb R^3$

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ<sup>N</sup></i>

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Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in $\mathbb{R}^3$

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Existence of positive solutions for nonlinear Kirchhoff type problems in R3 with critical Sobolev exponent

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Q4189540

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Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent

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Existence of positive ground state solutions for Kirchhoff type problems

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Positive solutions for a nonlinear nonlocal elliptic transmission problem

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Q2869112

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Nontrivial solutions of Kirchhoff-type problems via the Yang index

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Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional $p$-Laplacian in $\mathbb R^N$

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Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators

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Existence and multiplicity of entire solutions for fractional $p$-Kirchhoff equations

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

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The Brezis-Nirenberg result for the fractional Laplacian

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Holder estimates for solutions of integro differential equations like the fractional laplace

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On the Struwe—Jeanjean—Toland monotonicity trick

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Existence and multiplicity of positive solutions for fractional Schrödinger equations with critical growth

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Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent

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SYMMETRIZATION AND MINIMAX PRINCIPLES

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Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem

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A BERESTYCKI–LIONS THEOREM REVISITED

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The critical case for a Berestycki-Lions theorem

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Identifiers

zbMATH Open document ID

1375.35500

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Mathematics Subject Classification ID

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10.1007/S00030-017-0473-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2411119