Nonexistence of positive solutions to nonlinear nonlocal elliptic systems

DOI10.1016/j.jmaa.2008.05.036zbMath1147.35306OpenAlexW2029510275MaRDI QIDQ933463

B. E. Eshmatov

Publication date: 21 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.036

zbMATH Keywords

nonlinear elliptic systemsfractional diffusion operator

Mathematics Subject Classification ID

Related Items (10)

Nonlinear fractional elliptic systems with boundary measure data: existence and a priori estimates ⋮ Nonexistence of global solutions for a class of two-time nonlinear evolution equations ⋮ Blow‐up results for a semi‐linear structural damped wave model with nonlinear memory ⋮ Liouville-type theorems for a system governed by degenerate elliptic operators of fractional orders ⋮ Nonexistence of global weak solutions for evolution equations with fractional Laplacian ⋮ Maximum Principles and Aleksandrov--Bakelman--Pucci Type Estimates for NonLocal Schrödinger Equations with Exterior Conditions ⋮ On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures ⋮ Liouville type results for systems of equations involving fractional Laplacian in exterior domains ⋮ Liouville-type theorems for sign-changing solutions to nonlocal elliptic inequalities and systems with variable-exponent nonlinearities ⋮ Nonexistence results for some nonlinear nonlocal elliptic inequalities with variable exponents

Cites Work

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• The absence of global positive solutions of quasilinear elliptic inequalities
• Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\)
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems
• A Liouville type theorem for an integral system
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Classification of Solutions for a System of Integral Equations
• A pointwise estimate for fractionary derivatives with applications to partial differential equations

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