WIAS Preprint No. 527, (1999)

To the uniqueness problem for nonlinear elliptic equations



Authors

  • Gajewski, Herbert
  • Skrypnik, Igor V.

2010 Mathematics Subject Classification

  • 35B45 35J25 35J60

Keywords

  • nonlinear elliptic equations, bounded solutions, uniqueness, nonstandard asymptions

Abstract

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

Appeared in

  • Nonlinear Anal., 52 (2003) pp. 291--304.

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