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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.