Liouville-type theorem for a nonlocal operator on the half plane

DOI10.1007/s00605-018-1195-6zbMath1394.45004OpenAlexW2806749134WikidataQ129799763 ScholiaQ129799763MaRDI QIDQ1650725

Amin Esfahani

Publication date: 13 July 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-018-1195-6

zbMATH Keywords

integral equationnonexistenceBO-ZK operator

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional partial differential equations (35R11) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Unnamed Item
• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
• Lipschitz regularity of solutions for mixed integro-differential equations
• Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation
• Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation
• Regularity and rigidity theorems for a class of anisotropic nonlocal operators
• Symmetry results for decay solutions of elliptic systems in the whole space
• Regularity of solutions for an integral system of Wolff type
• Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives
• Instability of solitary wave solutions for the generalized BO-ZK equation
• Qualitative properties of solutions for an integral equation
• On the strong maximum principle for second order nonlinear parabolic integro-differential equations
• Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations
• Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
• Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations
• Liouville theorems involving the fractional Laplacian on a half space
• Super poly-harmonic property of solutions for Navier boundary problems on a half space
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Some Theorems on Stable Processes
• Some notes on the method of moving planes
• Classification of solutions for an integral equation

This page was built for publication: Liouville-type theorem for a nonlocal operator on the half plane