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A comparison result for radial solutions of the mean curvature equation

✍ Scribed by Rafael López

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
375 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

We establish two comparison results, between the solutions of a class of mean curvature equations and pieces of arcs of circles that satisfy the same Neumann boundary condition. Finally we present a number of examples where our estimates can be applied; some of them have a physical motivation.

📜 SIMILAR VOLUMES

On some estimate for solutions of Dirich
On some estimate for solutions of Dirichlet problem of prescribed mean curvature equation
✍ Masao Nakatani 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 230 KB

There is the result of Ladyzhenskaya and Ural'ceva [3] concerning interior estimates for solutions of Dirichlet problem of prescribed mean curvature equation. Here along the line in [3] we give some boundary estimate for these solutions.

Strong Comparison Principle for Radial S
Strong Comparison Principle for Radial Solutions of Quasi-Linear Equations
✍ S Prashanth 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 75 KB

Let be either a ball or an annulus centered about the origin in N and p the usual p-Laplace operator in β ∈ 0 1 be any two radial weak solutions ofp u i = b u i + f i in . We then show that u 1 ≤ u 2 in implies u 1 < u 2 in and also that appropriate versions of Hopf boundary point principle hold.