Mean Values of Subsolutions of Elliptic and Parabolic Equations

DOI10.2307/1999552zbMath0552.35008OpenAlexW4242265742MaRDI QIDQ3345156

William P. Ziemer

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999552

zbMATH Keywords

quasilinear elliptic equationquasilinear parabolic equationIntegral averagesweak subsolutionsweak Harnack inequalities

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items

Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation, A-superharmonic functions and supersolutions of degenerate elliptic equations, Interior regularity for solutions to obstacle problems

Cites Work

• Integral inequalities of Poincaré and Wirtinger type
• Behavior at the boundary of solutions of quasilinear parabolic equations
• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Linear and quasilinear elliptic equations
• Integral Inequalities of Poincare and Wirtinger Type for BV Functions
• Elliptic Partial Differential Equations of Second Order
• Interior and Boundary Continuity of Weak Solutions of Degenerate Parabolic Equations
• A harnack inequality for parabolic differential equations
• On harnack type inequalities and their application to quasilinear elliptic equations
• Pointwise estimates and quasilinear parabolic equations
• Functions whose partial derivatives are measures
• Unnamed Item
• Unnamed Item
• Unnamed Item