On the growth of the solutions of the differential equation div \((|\nabla u|^{p-2}\nabla u)=0\) in \(n\)-dimensional space

DOI10.1016/0022-0396(85)90002-6zbMath0534.34042OpenAlexW2054883691MaRDI QIDQ790324

Peter Lindqvist

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90002-6

zbMATH Keywords

comparison principlePhragmén-Lindelöf theoremsubharmonic functionsexamples\(p\)-harmonic functions\(n\)-harmonic measures

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items

Global Integrability for Solutions to Obstacle Problems, On an estimate for solutions of nonlinear elliptic variational inequalities, Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations, Phragmén-Lindelöf theorems for equations with nonstandard growth, Estimates for \(p\)-harmonic functions vanishing on a flat, The Liouville theorems for elliptic equations with nonstandard growth, Phragmén-Lindelöf theorem for infinity harmonic functions, Phragmén-Lindelöf theorems and \(p\)-harmonic measures for sets near low-dimensional hyperplanes, Another way to say harmonic, Growth of subsolutions to fully nonlinear equations in halfspaces

Cites Work

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