Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity (Q5860806)

scientific article; zbMATH DE number 7431895

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English	Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity	scientific article; zbMATH DE number 7431895

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instance of

scholarly article

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title

Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity (English)

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Complex Variables and Elliptic Equations

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publication date

23 November 2021

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full work available at URL

https://arxiv.org/abs/2006.00260

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zbMATH Keywords

fractional \(p(\cdot)\)-Laplacian

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variable order fractional Sobolev space

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symmetric mountain pass theorem

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Moser iteration technique

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MaRDI profile type

MaRDI publication profile

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cites work

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A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations

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Infinitely many positive solutions for a nonlocal problem

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Infinitely many sign-changing solutions for a nonlocal problem

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On a Singular Nonlinear Elliptic Boundary-Value Problem

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Nonlocal problems with singular nonlinearity

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Semilinear elliptic equations with singular nonlinearities

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Q5428772

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Multiplicity of positive solutions for a singular and critical problem

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Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity

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On Dirichlet problem for fractional \(p\)-Laplacian with singular non-linearity

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A critical fractional elliptic equation with singular nonlinearities

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Mountain pass solutions for non-local elliptic operators

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

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Nonlinear elliptic equations with variable exponent: old and new

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

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ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION

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

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Compact Sobolev embedding theorems involving symmetry and its application

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

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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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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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Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians

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Identifiers

zbMATH Open document ID

1478.35222

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DOI

10.1080/17476933.2020.1781832

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5860806