Existence results for Schrödinger $p(\cdot)$-Laplace equations involving critical growth in \(\mathbb{R}^N$ (Q2414222)

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English	Existence results for Schrödinger $p(\cdot)$-Laplace equations involving critical growth in \(\mathbb{R}^N$	scientific article

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scholarly article

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title

Existence results for Schrödinger $p(\cdot)$-Laplace equations involving critical growth in \(\mathbb{R}^N$ (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

10 May 2019

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full work available at URL

https://arxiv.org/abs/1807.03961

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zbMATH Keywords

quasilinear equation with $p(\cdot)$-Laplacian

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weighted variable exponent Sobolev spaces

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concentration-compactness principle

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MaRDI profile type

MaRDI publication profile

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cites work

Combined effects of concave and convex nonlinearities in some elliptic problems

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Solutions for $p(x)$-Laplacian Dirichlet problems with singular coefficients

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On the sub-supersolution method for $p(x)$-Laplacian equations

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Sobolev embeddings for unbounded domain with variable exponent having values across N

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Eigenvalues of $p(x)$-Laplacian Dirichlet problem

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Q3419565

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Local ``superlinearity'' and ``sublinearity'' for the $p$-Laplacian

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The principle of concentration compactness in $L^{p(x)}$ spaces and its application

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Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent

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Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term

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Structure of a quantized vortex in boson systems

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Existence and multiplicity of solutions for degenerate $p(x)$-Laplace equations involving concave-convex type nonlinearities with two parameters

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On degenerate $p(x)$-Laplace equations involving critical growth with two parameters

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Existence results for degenerate $p(x)$-Laplace equations with Leray-Lions type operators

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Global bifurcation for a class of degenerate elliptic equations with variable exponents

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Q4021390

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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The concentration-compactness principle in the calculus of variations. The limit case. I

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The concentration-compactness principle in the calculus of variations. The limit case. II

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On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent

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Existence of entire solutions for a class of variable exponent elliptic equations

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On a class of nonlinear Schrödinger equations

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Q2743850

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Local existence conditions for an equations involving the $p(x)$-Laplacian with critical exponent in $\mathbb R^N$

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Existence of solutions and positivity of the infimum eigenvalue for degenerate elliptic equations with variable exponents

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Minimax theorems

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On an open problem involving the $p(x)$-Laplacian-A further study on the multiplicity of weak solutions to $p(x)$-Laplacian equations

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Compact imbeddings between variable exponent spaces with unbounded underlying domain

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On some variational problems

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Identifiers

zbMATH Open document ID

1421.35132

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DOI

10.1016/j.na.2018.12.004

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2414222

Existence results for Schrödinger \(p(\cdot)\)-Laplace equations involving critical growth in \(\mathbb{R}^N$ (Q2414222)

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Mathematics(1 entry)