Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities (Q6103900)

scientific article; zbMATH DE number 7703178

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English	Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities	scientific article; zbMATH DE number 7703178

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scholarly article

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title

Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities (English)

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Boundary Value Problems

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publication date

27 June 2023

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zbMATH Keywords

$p(x)$-Kirchhoff-type equation

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degenerate elliptic equation

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concave-convex nonlinearities

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existence

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variational methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1186/s13661-023-01719-0

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cites work

Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities

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Combined effects of concave and convex nonlinearities in some elliptic problems

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Dual variational methods in critical point theory and applications

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Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Positive solutions for a class of $p(x)$-Laplacian equation involving concave-convex nonlinearities

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Multiple solutions for a<i>p</i>(<i>x</i>)-Kirchhoff-type equation with sign-changing nonlinearities

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Infinitely many solutions for a class of $p(x)$-Kirchhoff type problems with critical exponents

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Existence of solutions for a $p(x)$-Kirchhoff-type equation

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On the variational principle

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Existence of solutions for $p(x)$-Laplacian Dirichlet problem.

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A variable exponent diffusion problem of concave-convex nature

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Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent

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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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Infinitely many solutions for the p(x)-Laplacian equations without (AR)-type growth condition

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Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth

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Sobolev Spaces

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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR AN ELLIPTIC EQUATION WITH $p(x)$-GROWTH CONDITIONS

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Multiple solutions for a class of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Laplacian problems involving concave-convex nonlinearities

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Q3749777

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Nonlinear elliptic equations with variable exponent: old and new

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Optimal improved $L_p$-Riemannian Gagliardo-Nirenberg inequalities

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On superlinear $p(x)$-Laplacian problems without Ambrosetti and Rabinowitz condition

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Infinitely many bound state solutions for Kirchhoff type problems

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$p(x)$-Laplacian equations satisfying Cerami condition

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Infinitely many solutions for critical degenerate Kirchhoff type equations involving the fractional $p$-Laplacian

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Existence of strong solutions of a $p(x)$-Laplacian Dirichlet problem without the Ambrosetti-Rabinowitz condition

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$p$-Laplacian equations in $\mathbb{R}^N$ with finite potential via truncation method, the critical case

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Identifiers

zbMATH Open document ID

1518.35359

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Mathematics Subject Classification ID

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10.1186/S13661-023-01719-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6103900

Nonnegative nontrivial solutions for a class of \(p(x)\)-Kirchhoff equation involving concave-convex nonlinearities (Q6103900)

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Sitelinks

Mathematics(1 entry)