Weighted p-Laplacian problems on a half-line

Existence and Asymptotic Behavior of Solutions for Weighted p(t)-Laplacian System Multipoint Boundary Value Problems in Half Line

Solvability for second-order nonlocal boundary value problems with a p-Laplacian at resonance on a half-line

This paper investigates the solvability of the second-order boundary value problems with the one-dimensional p-Laplacian at resonance on a half-line

Existence and Asymptotic Behavior of Solutions for Weighted p(t)-Laplacian Integrodifferential System Multipoint and Integral Boundary Value Problems in Half Line

This paper investigates the existence and asymptotic behavior of solutions for weighted p t Laplacian integro-differential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies subp− − 1 growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree. Moreover, the existence of nonnegative sol...

Superlinear Singular Problems on the Half Line

Copyright q 2010 I. Rachůnková and J. Tomeček. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The paper studies the singular differential equation p t u′ ′ p t f u , which has a singularity at t 0. Here the existence of strictly ...

On Positive Solutions for a Class of p-Laplacian Problems

We consider the system ⎧ ⎪ ⎨ ⎪ ⎩ −Δ p u = λf (v) in Ω −Δ q v = μg(u) in Ω u = v = 0 on ∂Ω (I) where Δ p u = div(|∇u| p−2 ∇u), Δ q v = div(|∇v| q−2 ∇v), p, q > 1, Ω is the open unit ball in R N , N ≥ 2 and ∂Ω is its boundary. We establish upper and lower estimates for possible positive solutions of system(I).