An Integral Estimate for the Gradient for a Class of Nonlinear Elliptic Equations in the Plane | Zendy

Lubomira G. Softova | Zendy

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An Integral Estimate for the Gradient for a Class of Nonlinear Elliptic Equations in the Plane

Author(s) -

Lubomira G. Softova

Publication year - 1998

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/808

Subject(s) - class (philosophy) , nonlinear system , mathematics , mathematical analysis , plane (geometry) , physics , geometry , computer science , artificial intelligence , quantum mechanics

An a priori estimate is established for the gradient of the solution to Dirichlet's problem for a class of nonlinear differential equations on a convex domain in the plane. The nonlinear operator is assumed to be elliptic in the sense of Campanato. By virtue of the Leray-Schauder fixed point theorem an existence result for the problem under consideration is derived.

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