Liouville-type results in exterior domains for radial solutions of fully nonlinear equations

DOI10.1016/j.jde.2020.03.051zbMath1444.35062arXiv1907.12985OpenAlexW3015812027MaRDI QIDQ2184708

Giulio Galise, Alessandro Iacopetti, Fabiana Leoni

Publication date: 29 May 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12985

zbMATH Keywords

radial solutionscritical exponentsexterior domainsfully nonlinear Dirichlet problems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items

Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains, Unnamed Item, New concentration phenomena for a class of radial fully nonlinear equations, Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators, Existence, nonexistence and uniqueness for Lane–Emden type fully nonlinear systems

Cites Work

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• Fast and slow decay solutions for supercritical elliptic problems in exterior domains
• Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations
• Best constant in Sobolev inequality
• Existence and asymptotic behavior of nodal solutions for semilinear elliptic equations
• On critical exponents for the Pucci's extremal operators.
• On the Liouville property for fully nonlinear equations
• Concentration and energy invariance for a class of fully nonlinear elliptic equations
• Uniqueness of positive radial solutions of \(\Delta u+f(| x| ,u)=0\).
• New concentration phenomena for a class of radial fully nonlinear equations
• Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian
• Positive solutions of super-critical elliptic equations and asymptotics
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
• Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
• Existence results for fully nonlinear equations in radial domains
• Large Critical Exponents for Some Second Order Uniformly Elliptic Operators