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. <i>Electronic Journal of Differential Equations, 2006</i>(102), pp. 1-9.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.