Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in $\mathbb{R}^N$ (Q6187568)

scientific article; zbMATH DE number 7788034

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English	Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in $\mathbb{R}^N$	scientific article; zbMATH DE number 7788034

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scholarly article

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title

Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in $\mathbb{R}^N$ (English)

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The Journal of Geometric Analysis

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publication date

15 January 2024

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full work available at URL

https://arxiv.org/abs/2202.07611

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zbMATH Keywords

$N$-Laplacian

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Stein-Weiss type convolution

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Trudinger-Moser inequality

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critical exponent

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existence of positive solutions

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MaRDI profile type

MaRDI publication profile

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cites work

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

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$N$-Laplacian equations in $\mathbb{R}^N$ with critical growth

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

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Nodal solutions for a quasilinear elliptic equation involving the $p$-Laplacian and critical exponents

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Quasilinear elliptic equations involving the $N$-Laplacian with critical exponential growth in $\mathbb R^N$

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On a nonhomogeneous and singular quasilinear equation involving critical growth in $\mathbb R^2$

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Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in $\mathbb R^2$

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$n$-Kirchhoff-Choquard equations with exponential nonlinearity

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Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights

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On elliptic equations with Stein-Weiss type convolution parts

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Multiplicity results for $p$-Kirchhoff modified Schrödinger equations with Stein-Weiss type critical nonlinearity in $\mathbb{R}^N$.

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Regularity, symmetry and asymptotic behaviour of solutions for some Stein-Weiss-type integral systems

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Fractional $p$-Laplacian problem with critical Stein-Weiss type term

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Critical Stein-Weiss elliptic systems: symmetry, regularity and asymptotic properties of solutions

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Q3581209

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Semilinear Dirichlet problems for the $N$-Laplacian in $\mathbb{R}^ N$ with nonlinearities in the critical growth range

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A singular Moser-Trudinger embedding and its applications

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Q3630617

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Functional analysis, Sobolev spaces and partial differential equations

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Quasilinear elliptic equations involving critical Sobolev exponents

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Identifiers

arXiv ID

2202.07611

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Mathematics Subject Classification ID

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10.1007/S12220-023-01505-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6187568

Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in \(\mathbb{R}^N\) (Q6187568)

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Mathematics(1 entry)