Krasnosel'skii, Mark and Mennicken, Reinhard and Rachinskii, Dmitrii (1999) Potential bounds in problems on quasilinear elliptic equations. MATHEMATISCHE NACHRICHTEN, 207 (1). pp. 133-155. ISSN 0025-584X
Full text not available from this repository.Abstract
We study quasilinear elliptic equations with strong nonlinear terms and systems of such equations. The methods developed by the authors in [1], [2] are used to prove the existence of solutions for boundary - value problems using some information on behavior of potential bounds for nonlinearities; the L-characteristics of elliptic operators and their fractional powers play an important role. New conditions are suggested for the existence of classical solutions of quasilinear second order elliptic equations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | quasilinear elliptic equation; potential bounds; solvability of elliptic equations; L - characteristic of operator; fractional powers of operator |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Dec 2022 05:17 |
| Last Modified: | 01 Dec 2022 05:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48697 |
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