Critical Kirchhoff \(p(\cdot) \& q(\cdot)\)-fractional variable-order systems with variable exponent growth
DOI10.1007/S13324-021-00643-9zbMath1481.35377OpenAlexW4206826606MaRDI QIDQ2066351
Jiabin Zuo, Debajyoti Choudhuri
Publication date: 14 January 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-021-00643-9
critical nonlinearityvariable exponentvariable exponent Lebesgue spacefractional variable-order Sobolev spacefractional variable-order systems
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Cites Work
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- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- On nonlinear wave equations of Carrier type
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Lebesgue and Sobolev spaces with variable exponents
- Existence of positive solutions for a class of \(p\&q\) elliptic problems with critical growth on \(\mathbb R^N\)
- Bifurcation results for a class of \(p(x)\)-Laplacian equations
- Existence of solutions for \(p(x)\)-Laplacian problem on an unbounded domain
- A multiplicity result for \(p(x)\)-Laplacian problem in \(\mathbb R^N\)
- The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Multiplicity results for variable-order fractional Laplacian equations with variable growth
- Global solvability for the Kirchhoff equations in exterior domains of dimension three
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- The concentration-compactness principles for \(W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)\) and application
- Existence for fractional \((p,q)\) systems with critical and Hardy terms in \(\mathbb{R}^N\)
- Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities
- Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
- Kirchhoff-Hardy fractional problems with lack of compactness
- \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities
- Existence of entire solutions for a class of variable exponent elliptic equations
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
- Variational Methods for Nonlocal Fractional Problems
- Mathematical Models for Elastic Structures
- 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
- Multiple solutions for a class of fractional (p, q)–Laplacian system in RN
- Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations
- A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order
- A variable‐order fractional p(·)‐Kirchhoff type problem in ℝN
- Fractional p&q-Laplacian problems with potentials vanishing at infinity
- Regularity and multiplicity results for fractional (p,q)-Laplacian equations
- Partial Differential Equations with Variable Exponents
- Non-Linear vibration of an elastic string
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
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