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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.
EXISTENCE OF POSITIVE SOLUTIONS TO FOURTH ORDER QUASILINEAR BOUNDARY VALUE PROBLEMS
fourth-order boundary value problem fixed point theorem positive solution
2007/12/11
In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some f...
Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions
boundary value problems lower and upper solutions Schauder's fixed point theorem
2007/12/11
This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line.
POSITIVE SOLUTIONS OF SINGULAR SUBLINEAR SECOND ORDER BOUNDARY VALUE PROBLEMS
Singular sublinear boundary value proble
2007/8/7
This paper mainly studies the existence of positive solutions of singular sub-linear boundary value problems concerning the generalized Emden-Fowler equations. A necessary and sufficient condition for...
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...
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...