On a class of nonlocal Schrödinger equations with exponential growth (Q2154927)

scientific article

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English	On a class of nonlocal Schrödinger equations with exponential growth	scientific article

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instance of

scholarly article

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title

On a class of nonlocal Schrödinger equations with exponential growth (English)

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author

Giovanni Molica Bisci

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Nguyen Van Thin

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Luca Vilasi

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published in

Advances in Differential Equations

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publication date

15 July 2022

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full work available at URL

https://projecteuclid.org/journals/advances-in-differential-equations/volume-27/issue-9_2f_10/On-a-class-of-nonlocal-Schr%c3%b6dinger-equations-with-exponential-growth/ade027-0910-571.full

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zbMATH Keywords

Trudinger-Moser-type nonlinearity

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penalization methods

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Lusternik-Schnirelmann theory

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fractional Laplacian

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MaRDI profile type

MaRDI publication profile

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cites work

On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in $\mathbb R^{N}$

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Existence and multiplicity of positive solutions to a $p$-Laplacian equation in $\mathbb R^N$.

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Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional $p$-Laplacian

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Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R

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Concentration phenomena at saddle points of potential for Schrödinger-Poisson systems

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Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions

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Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

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

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

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

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$1/2$-Laplacian problems with exponential nonlinearity

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Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝN

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Multiple solutions for a fractional nonlinear Schrödinger equation with local potential

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Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

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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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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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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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Q3997570

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Singular Trudinger-Moser inequality and fractional $p$-Laplace equations in $\mathbb{R}^N$

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Multiplicity and concentration of solutions to a fractional $(p,p_1)$-Laplace problem with exponential growth

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On concentration of positive bound states of nonlinear Schrödinger equations

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Minimax theorems

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Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity

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Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity

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Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation

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Identifiers

zbMATH Open document ID

1494.35017

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2154927