๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

General conditions for limit summability of solutions of nonlinear elliptic equations with -data

โœ Scribed by Alexander A. Kovalevsky

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
140 KB
Volume
64
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions of elliptic equations
Positive solutions of elliptic equations with nonlinear boundary conditions
โœ Xiuchao Song; Weihua Wang; Peihao Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 411 KB

This paper deals with the nonlinear elliptic equationu + u = f (x, u) in a bounded smooth domain โ„ฆ โŠ‚ R N with a nonlinear boundary value condition. The existence results are obtained by the sub-supersolution method and the Mountain Pass Lemma. And nonexistence is also considered.

On multipliers characterizing summabilit
On multipliers characterizing summability of solutions for a class of degenerate nonlinear high-order equations with -data
โœ Alexander A. Kovalevsky; Francesco Nicolosi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

We deal with a class of degenerate nonlinear high-order equations with coefficients satisfying a strengthened monotonicity condition and L 1 -right-hand sides. Our main result describes functional multipliers with which solutions of the Dirichlet problem for equations of the given class and their de

Starshapedness of Level Sets for Solutio
Starshapedness of Level Sets for Solutions of Nonlinear Elliptic Equations
โœ Elisa Francini ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 277 KB

## Abstract We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring ฮฉ of IR^n^. We prove that a function which characterizes the starshapedness does not attain its minimum in ฮฉ.