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By combining the formalism of \cite{RHE} with a discrete approach close to the considerations of \cite{Davie}, we interpret and solve the rough partial differential equation $dy_t=A y_t \, dt+\sum_{i=...
Positive Solutions of a Class of Quasilinear Elliptic Equations in Two-dimensional Exterior Domains
Positive solution Quasilinear elliptic equation Exterior domains
2007/12/12
Sufficient conditions for the existence of positive solutions to a class of quasilinear elliptic equations in two-dimensional exterior domains are given.
AN EXISTENCE THEOREM FOR RADIAL POSITIVE SOLUTIONS OF NONLINEAR DEGENERATE ELLIPTIC EQUATIONS
Existence radial solution degenerate e
2007/8/7
We study the existence of positive solutions of nonlinear degenerate elliptic equations with the aid of phase-energy method. The equivalent conditions are given for the existence of positive solutions...
POSITIVE SOLUTIONS FOR DIRICHLET PROBLEMS OF SINGULAR SEMILINEAR ELLIPTIC EQUATIONS
Singular semilinear elliptic equation D
2007/8/7
This paper studies the existence of solutions of the following problem: where Ω is a bounded domain in Rn with smooth boundary, L is a second order uniformly elliptic linear operator, and f(x, u ε) is...