Exponential growth solutions of elliptic equations
β Scribed by Fengbo Hang; Fanghua Lin
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1999
- Tongue
- English
- Weight
- 434 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove a removability result for nonlinear elliptic equations with__p__ (__x__)βtype nonstandard growth and estimate the growth of solutions near a nonremovable isolated singularity. To accomplish this, we employ a Harnack estimate for possibly unbounded solutions and the fact that so
Sequences of positive solutions to semilinear elliptic equations of critical exponential growth in the plane either are precompact in the Sobolev H 1 -topology or concentrate at isolated points of the domain. For energies allowing at most single-point blow-up, we establish a universal blow-up patter