Existence and uniqueness of weak solutions to variable-order fractional Laplacian equations with variable exponents
type: Item
instance of: scholarly article
title: Existence and uniqueness of weak solutions to variable-order fractional Laplacian equations with variable exponents
zbMATH Open document ID: 1471.35300
DOI: 10.1155/2021/6686213
author: Yating Guo
author: Guoju Ye
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by \(p(\cdot)\)-fractional Laplace with variable exponents were studied. By using variational method, the authors obtain the existence and uniqueness results.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J92
zbMATH DE Number: 7385290
zbMATH Keywords: Kirchhoff-type problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6686213
OpenAlex ID: W3119828218
cites work: Partial fractional derivatives of Riesz type and nonlinear fractional differential equations
cites work: Optimal variable-order fractional PID controllers for dynamical systems
cites work: Q4097611
cites work: Relativistic stability of matter. I
cites work: Financial Modelling with Jump Processes
cites work: Nonlocal Operators with Applications to Image Processing
cites work: Q4233638
cites work: Q5699297
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Integration and differentiation to a variable fractional order
cites work: Q3184897
cites work: Variable order and distributed order fractional operators
cites work: Synthesis of multifractional Gaussian noises based on variable-order fractional operators
cites work: Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents
cites work: Multiplicity results for variable-order fractional Laplacian equations with variable growth
cites work: A computational method for solving variable-order fractional nonlinear diffusion-wave equation
cites work: Nonlinear elliptic equations with variable exponent: old and new
cites work: Partial Differential Equations with Variable Exponents
cites work: Fractional Sobolev spaces with variable exponents and fractional p ( x )</mml:m
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
cites work: A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
cites work: Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
cites work: On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
cites work: Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
cites work: On a fractional degenerate Kirchhoff-type problem
cites work: A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order
cites work: Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
cites work: Multiple solutions for \(p\)-Kirchhoff equations in \(\mathbb R^N\)
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Variable order nonlocal Choquard problem with variable exponents
cites work: Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
cites work: Q5318420
cites work: Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
cites work: Hitchhiker's guide to the fractional Sobolev spaces
description: scientific article; zbMATH DE number 7385290