Entire solutions of quasilinear elliptic equations

DOI10.1016/j.jmaa.2008.10.036zbMath1180.35243OpenAlexW1972543370MaRDI QIDQ5901528

James Serrin

Publication date: 14 April 2009

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.2008.10.036

zbMATH Keywords

elliptic differential equationsentire solutionsLiouville theorems

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (13)

Recent rigidity results for graphs with prescribed mean curvature ⋮ Blow-up of solutions of some nonlinear inequalities with singularities on unbounded sets ⋮ Nonexistence of nonnegative solutions of elliptic systems of divergence type ⋮ Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity ⋮ The first and second expansion of large solutions for quasilinear elliptic equations with weight functions ⋮ Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary ⋮ On some partial differential inequalities with gradient terms ⋮ Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems ⋮ Entire solutions of completely coercive quasilinear elliptic equations ⋮ Entire solutions of completely coercive quasilinear elliptic equations. II ⋮ Liouville theorems for elliptic systems and applications ⋮ On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms ⋮ Existence and Liouville-type theorems for some indefinite quasilinear elliptic problems with potentials vanishing at infinity

Cites Work

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• The maximum principle
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Regularity for a more general class of quasilinear equations
• Nonexistence results for solutions of semilinear elliptic equations
• Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
• On the inequality \(\Delta u\geq f(u, |grad u|)\)
• Entire Solutions of Nonlinear Poisson Equations

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