Existence of positive solutions for higher order singular sublinear elliptic equations
Date
2006-08-31
Authors
Bachar, Imed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We present existence result for the polyharmonic nonlinear problem
(-Δ)pmu = φ(., u) + ψ(., u), in B
u > 0, in B
lim|x|→1 (-Δ)jmu(x) / (1 - |x|)m-1 = 0, 0 ≤ j ≤ p - 1,
in the sense of distributions. Here m, p are positive integers, B is the unit ball in ℝn(n ≥ 2) and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions J(p)m,n.
Description
Keywords
Green function, Higher-order elliptic equations, Positive solution, Schauder fixed point theorem
Citation
Bachar, I. (2006). Existence of positive solutions for higher order singular sublinear elliptic equations. Electronic Journal of Differential Equations, 2006(102), pp. 1-9.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.