๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Singular solutions of some nonlinear elliptic equations

โœ Scribed by Laurent Veron

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
999 KB
Volume
5
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Weak Solutions of Nonlinear Elliptic Equ
Weak Solutions of Nonlinear Elliptic Equations with Prescribed Singular Set
โœ Yomna Rรฉbaฤฑ̈ ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 536 KB

Given 0 any open and bounded subset of R n , n 4, with smooth boundary and given 7 any (n&m)-dimensional compact submanifold of 0 without boundary, n>m>2, we prove the existence of weak solutions to the problem &2u=u p in 0 { u>0 in 0 u=0 on 0, which are singular on 7, when p is a real p>mร‚(m&2), c

Nontrivial solutions for some singular c
Nontrivial solutions for some singular critical growth semilinear elliptic equations
โœ Xiaoming He; Wenming Zou ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB

Let โ„ฆ be a bounded domain in R N (N โ‰ฅ 5) with smooth boundary โˆ‚โ„ฆ and the origin 0 is a bounded positive function on ฮฉ . We prove the existence results for nontrivial solutions to the Dirichlet problem + ฮปu in โ„ฆ , u = 0 on โˆ‚โ„ฆ , for suitable numbers ยต and ฮป.

Nonlinear Elliptic Equations with Singul
Nonlinear Elliptic Equations with Singular Boundary Conditions
โœ Zhijun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

We consider the model problem where โ€ is a bounded region in R with smooth boundary, q g 0, 2 , and ลฝ . p ลฝ .