Critical fractional $p$-Laplacian problems with possibly vanishing potentials (Q499168)

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English	Critical fractional $p$-Laplacian problems with possibly vanishing potentials	scientific article

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title

Critical fractional $p$-Laplacian problems with possibly vanishing potentials (English)

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zbMATH Open document ID

1403.35319

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DOI

10.1016/j.jmaa.2015.08.024

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Journal of Mathematical Analysis and Applications

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publication date

30 September 2015

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full work available at URL

https://arxiv.org/abs/1504.01533

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Mathematics Subject Classification ID

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fractional $p$-Laplacian

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critical exponent

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external potentials

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nontrivial solutions

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generalized linking

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$\mathbb{Z}_2$-cohomological index

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MaRDI profile type

MaRDI publication profile

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Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity

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Nonlinear Schrödinger equations with vanishing and decaying potentials.

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Existence of Solutions for the Nonlinear Schrödinger Equation with V (∞) = 0

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

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Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

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Non-local Diffusions, Drifts and Games

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On a class of critical $(p,q)$-Laplacian problems

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Ground state solutions of asymptotically linear fractional Schrödinger equations

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Bound state for the fractional Schrödinger equation with unbounded potential

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Linking over cones and nontrivial solutions for $p$-Laplace equations with $p$-superlinear nonlinearity

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Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Fractional p-eigenvalues

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Existence of minimal nodal solutions for the nonlinear Schrödinger equations with $V (\infty) = 0$

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Global Hölder regularity for the fractional $p$-Laplacian

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Weyl-type laws for fractional p-eigenvalue problems

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Fractional quantum mechanics and Lévy path integrals

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On fractional $p$-Laplacian problems with weight.

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Fractional eigenvalues

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On the Ambrosetti-Rabinowitz Superlinear Condition

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Nontrivial critical groups in $p$-Laplacian problems via the Yang index

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Q3560017

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A note on the Dancer-Fučík spectra of the fractional $p$-Laplacian and Laplacian operators

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$p$-Laplacian problems where the nonlinearity crosses an eigenvalue

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Q4155228

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

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Ground states for fractional Schrödinger equations with critical growth

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

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Best constant in Sobolev inequality

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(<i>N,q</i>)-Laplacian problems with critical Trudinger–Moser nonlinearities

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Mathematics(1 entry)

mardi Publication:499168

Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials (Q499168)

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Mathematics(1 entry)