Existence of Solutions for a Class of Weighted <inline-formula> <graphic file="1029-242X-2008-791762-i1.gif"/></inline-formula>-Laplacian System Multipoint Boundary Value Problems

Abstract

<p>Abstract</p> <p>This paper investigates the existence of solutions for weighted <inline-formula> <graphic file="1029-242X-2008-791762-i2.gif"/></inline-formula>-Laplacian system multipoint boundary value problems. When the nonlinearity term <inline-formula> <graphic file="1029-242X-2008-791762-i3.gif"/></inline-formula> satisfies sub-<inline-formula> <graphic file="1029-242X-2008-791762-i4.gif"/></inline-formula><inline-formula> <graphic file="1029-242X-2008-791762-i5.gif"/></inline-formula> growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree.</p