TY - JOUR
T1 - A Priori Estimates and Existence of Positive Solutions to Quasilinear Elliptic Equations in General Form
AU - Wang Xujia
JO - Journal of Partial Differential Equations
VL - 4
SP - 28
EP - 36
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5751.html
KW - Elliptic equation
KW -  positive solution
AB -  In this paper we prove the existence of a positive solution to the following superlinear elliptic Dirichlet problem, - &#931^n_{i,j=1}aij(x, u, Du)D_{ij}u = f(x, u, Du) in &#937, \quad u = 0 on &#8706&#937 where f satisfies certain growth conditions.