๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On a singular Neumann problem for semilinear elliptic equations with critical Sobolev exponent and lower order terms

โœ Scribed by J. Chabrowski

Book ID
107508460
Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
544 KB
Volume
2
Category
Article
ISSN
1661-7738

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On a semilinear elliptic equation with s
On a semilinear elliptic equation with singular term and Hardyโ€“Sobolev critical growth
โœ Jianqing Chen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 175 KB

## Abstract In a previous work [6], we got an exact local behavior to the positive solutions of an elliptic equation. With the help of this exact local behavior, we obtain in this paper the existence of solutions of an equation with Hardyโ€“Sobolev critical growth and singular term by using variation

Positive solutions for elliptic equation
Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions
โœ Pigong Han; Zhaoxia Liu ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions.

Existence and multiplicity of solutions
Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardyโ€“Sobolev critical exponents
โœ Ling Ding; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy-Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.