Infinitely many large solutions to a variable order nonlocal singular equation
DOI10.1007/s13540-022-00039-xzbMath1503.35259OpenAlexW4225002500WikidataQ114017020 ScholiaQ114017020MaRDI QIDQ2110894
Sekhar Ghosh, Motreanu, Dumitru
Publication date: 23 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13540-022-00039-x
truncationsingularityfractional Laplaciansymmetric mountain pass theoremvariable order fractional Sobolev space
Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Singular elliptic equations (35J75) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Nonlocal problems with singular nonlinearity
- On a singular Robin problem with convection terms
- Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
- Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
- Positive solutions for nonlinear singular elliptic equations of \(p\)-Laplacian type with dependence on the gradient
- Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
- On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain
- Infinitely many positive solutions for an iterative system of singular multipoint boundary value problems on time scales
- Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity
- Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- 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
- Fractional Sobolev inequalities associated with singular problems
- Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
- Partial Differential Equations with Variable Exponents
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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