Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents
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Publication:2110599
DOI10.1007/s13540-022-00105-4zbMath1503.35281arXiv2212.09261OpenAlexW4309263781MaRDI QIDQ2110599
Jiabin Zuo, Debajyoti Choudhuri, Dušan D. Repovš
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.09261
variable-order fractional operatorChoquard typediscontinuous power nonlinearitymixed operatorvariable singular exponent
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Singular elliptic equations (35J75) Fractional partial differential equations (35R11)
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Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Solutions for a Kirchhoff equation with critical Caffarelli-Kohn-Nirenberg growth and discontinuous nonlinearity
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Mountain pass theorems for non-differentiable functions and applications
- Multiplicity results for variable-order fractional Laplacian equations with variable growth
- A critical fractional \(p\)-Kirchhoff type problem involving discontinuous nonlinearity
- Existence and Hölder regularity of infinitely many solutions to a \(p\)-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- Local versus nonlocal elliptic equations: short-long range field interactions
- Elliptic problem driven by different types of nonlinearities
- Existence and behavior of positive solution for a problem with discontinuous nonlinearity in \({\mathbb{R}}^N\) via a nonsmooth penalization
- Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity
- Existence and behavior of the solutions for an elliptic equation with a nonlocal operator involving critical and discontinuous nonlinearity
- Existence of positive ground state solutions for Choquard equation with variable exponent growth
- Existence of positive solutions for a class of \( p \& q\) elliptic problem with critical exponent and discontinuous nonlinearity
- A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
- Quasilinear nonlocal elliptic problems with variable singular exponent
- Existence and behavior of positive solutions for a class of linearly coupled systems with discontinuous nonlinearities in \(\mathbb{R}^N\)
- On critical variable-order Kirchhoff type problems with variable singular exponent
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On a dirichlet problem with a singular nonlinearity
- The obstacle problem and partial differential equations with discontinuous nonlinearities
- Nonlinear Analysis - Theory and Methods
- Existence and multiplicity of solutions for discontinuous elliptic problems in ℝN
- Variable order nonlocal Choquard problem with variable exponents
- A singular elliptic problem involving fractional p-Laplacian and a discontinuous critical nonlinearity
- Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order
- Mixed local and nonlocal elliptic operators: regularity and maximum principles
- Linear theory for a mixed operator with Neumann conditions
- A note on the combination between local and nonlocal p-Laplacian operators
- On a class of fractional p(x) -Kirchhoff type problems
- Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents
- Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights
- Partial Differential Equations with Variable Exponents
- Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity
- An introduction to minimax theorems and their applications to differential equations
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)