Symmetry and monotonicity of positive solutions for a Choquard equation involving the logarithmic Laplacian operator
From MaRDI portal
Publication:6617618
DOI10.1007/s11784-024-01121-yMaRDI QIDQ6617618
Zhaohui Dai, Xianwen Kang, Linfen Cao
Publication date: 11 October 2024
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
narrow region principleChoquard equationdecay at infinitydirect method of moving planeslogarithmic Laplacian operator
Nonlinear elliptic equations (35J60) Symmetries, invariants, etc. in context of PDEs (35B06) Integro-partial differential equations (35R09)
Cites Work
- A direct method of moving planes for the fractional Laplacian
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Qualitative properties of solutions for an integral equation
- Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations
- Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators
- Symmetry and monotonicity of positive solutions for a system involving fractional p\&q-Laplacian in \(\mathbb{R}^n\)
- A direct method of moving planes for the logarithmic Laplacian
- Symmetry of singular solutions for a weighted Choquard equation involving the fractional \(p\)-Laplacian
- Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- Symmetry and monotonicity of positive solutions for a Choquard equation with the fractional Laplacian
- The Fractional Laplacian
- The Dirichlet problem for the logarithmic Laplacian
- Classification of solutions for an integral equation
- Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball
- Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian
- Symmetry and monotonicity of positive solutions for Choquard equations involving a generalized tempered fractional p-Laplacian in $${\mathbb {R}}^{n}$$
This page was built for publication: Symmetry and monotonicity of positive solutions for a Choquard equation involving the logarithmic Laplacian operator
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6617618)