A quantitative comparison theorem for nonlinear equations

DOI10.1006/JMAA.1997.5710zbMath0915.34027OpenAlexW2074910411MaRDI QIDQ1378619

Xiaodong Zhu

Publication date: 8 July 1999

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

Full work available at URL: https://semanticscholar.org/paper/0eb233ab3898e00097a0d7df9a5b609924aa0629

zbMATH Keywords

quasilinear elliptic equationradial solutionscomparison theoremRiccati transformationnonlinear ODE

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Flows in porous media; filtration; seepage (76S05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (1)

A general comparison theorem for nonlinear equations

Cites Work

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• Existence and uniqueness of solutions for a nonlinear diffusion problem arising in population genetics
• On positive solutions of -Delta(u)=F(x,u)
• Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\)
• Non-existence of nodal and one-signed solutions for nonlinear variational equations
• Non-existence of nodal and one-signed solutions for nonlinear variational equations with special symmetries
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• A Sturm type comparison theorem for nonlinear problems
• Methods of nonlinear analysis. Vol. 1

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