To the uniqueness problem for nonlinear elliptic equations
- Gajewski, Herbert
- Skrypnik, Igor V.
2010 Mathematics Subject Classification
- 35B45 35J25 35J60
- nonlinear elliptic equations, bounded solutions, uniqueness, nonstandard asymptions
We prove existence, boundedness and uniqueness of solutions to nonlinear elliptic boundary of second order under nonstandard assumptions with respect to the coefficients. Our assumptions are natural in view of drift diffusion processes for example in semiconductors and chemotaxis
- Nonlinear Anal., 52 (2003) pp. 291--304.