On the variable-order fractional Laplacian equation with variable growth on \(\mathbb{R}^N\)
type: Item
instance of: scholarly article
title: On the variable-order fractional Laplacian equation with variable growth on \(\mathbb{R}^N\)
zbMATH Open document ID: 1485.35205
author: Nguyen Van Thin
published in: Taiwanese Journal of Mathematics
publication date: 2022-02-28T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7481695
zbMATH Keywords: variable-order fractional Laplacian
zbMATH Keywords: existence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/tjm/210603
OpenAlex ID: W3185747320
cites work: On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
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: Infinitely many solutions of a symmetric Dirichlet problem
cites work: Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight
cites work: Q5636090
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian
cites work: Fractional Sobolev spaces with variable exponents and fractional p ( x )</mml:m
cites work: On Markov process generated by pseudodifferential operator of variable order
cites work: Q4021390
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration
cites work: Variable order and distributed order fractional operators
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: Q3749777
cites work: Fractional Generalized Random Fields of Variable Order
cites work: Q3997570
cites work: Minimax theorems
cites work: Multiplicity results for variable-order fractional Laplacian equations with variable growth
DOI: 10.11650/TJM/210603
description: scientific article; zbMATH DE number 7481695