An anisotropic tempered fractional \(p\)-Laplacian model involving logarithmic nonlinearity

DOI10.3934/eect.2023033OpenAlexW4382399874MaRDI QIDQ6192561

Wenwen Hou, Lihong Zhang, Guotao Wang, Juan. J. Nieto

Publication date: 13 February 2024

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2023033

zbMATH Keywords

logarithmic nonlinearityradial symmetry and monotonicitydirect method of moving planesanisotropic tempered fractional \(p\)-Laplacian model

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Radial symmetry results for fractional Laplacian systems
• Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy-Littlewood-Sobolev system of integral equations
• Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian
• A direct method of moving planes for the fractional Laplacian
• Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
• Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations
• Qualitative properties of solutions for an integral equation
• Radial symmetry of solution for fractional \(p\)- Laplacian system
• Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy-Schrödinger systems
• Radial symmetry and monotonicity of the positive solutions for \(k\)-Hessian equations
• Fractional \(p\)-Laplacian problems with negative powers in a ball or an exterior domain
• Standing waves of nonlinear fractional \(p\)-Laplacian Schrödinger equation involving logarithmic nonlinearity
• Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional \(p\)-Laplacian
• A direct method of moving planes for the logarithmic Laplacian
• Radial symmetry of standing waves for nonlinear fractional Hardy-Schrödinger equation
• Numerical approximations for the tempered fractional Laplacian: error analysis and applications
• Liouville theorems involving the fractional Laplacian on a half space
• Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
• Symmetry and non-existence of positive solutions for fractional \(p\)-Laplacian systems
• A Liouville type theorem for an integral system
• Well-posedness and numerical algorithm for the tempered fractional differential equations
• Indefinite fractional elliptic problem and Liouville theorems
• Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian
• A concave—convex elliptic problem involving the fractional Laplacian
• Variational solution of fractional advection dispersion equations on bounded domains in ℝd
• Regularity theory for fully nonlinear integro-differential equations
• A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian
• Boundary Problems for the Fractional and Tempered Fractional Operators
• Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics
• The Fractional Laplacian
• Finite Difference Schemes for the Tempered Fractional Laplacian
• An Extension Problem Related to the Fractional Laplacian
• Classification of solutions for an integral equation

This page was built for publication: An anisotropic tempered fractional \(p\)-Laplacian model involving logarithmic nonlinearity