A singular nonlinear elliptic equation with natural growth in the gradient | Zendy

Zhou WenShu | Zendy

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A singular nonlinear elliptic equation with natural growth in the gradient

Author(s) -

Zhou WenShu

Publication year - 2008

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.996

Subject(s) - mathematics , dirichlet problem , extension (predicate logic) , boundary value problem , dirichlet boundary condition , nonlinear system , mathematical analysis , dirichlet distribution , elliptic boundary value problem , term (time) , domain (mathematical analysis) , elliptic curve , singular solution , mixed boundary condition , computer science , programming language , physics , quantum mechanics

This paper is devoted to the existence and regularity of the homogenous Dirichlet boundary value problem for a singular nonlinear elliptic equation with natural growth in the gradient. By certain transformations, the problem can be transformed formally into either a Dirichlet problem or boundary blowup problems without gradient term, for which the corresponding existence results are also derived, which is a partial extension and supplement to the previous works. Copyright © 2008 John Wiley & Sons, Ltd.

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