Results 111 to 120 of about 6,453 (213)

Existence of maximal and minimal weak solutions and finite difference approximations for elliptic systems with nonlinear boundary conditions

open access: yesElectronic Journal of Differential Equations
We establish the existence of maximal and minimal weak solutions between ordered pairs of weak sub- and super-solutions for a coupled system of elliptic equations with quasimonotone nonlinearities on the boundary.
Shalmali Bandyopadhyay   +2 more
doaj  

Existence, uniqueness and multiplicity of positive solutions for some nonlocal singular elliptic problems

open access: yesElectronic Journal of Differential Equations, 2017
In this article, using the sub-supersolution method and Rabinowitz-type global bifurcation theory, we prove some results on existence, uniqueness and multiplicity of positive solutions for some singular nonlocal elliptic problems.
Baoqiang Yan, Qianqian Ren
doaj  

Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space

open access: yesBoundary Value Problems
In this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents.
Tahar Bouali   +2 more
doaj   +1 more source

Existence and Nonexistence Results for Classes of Singular Elliptic Problem

open access: yesAbstract and Applied Analysis, 2010
The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants.
Peng Zhang, Jia-Feng Liao
doaj   +1 more source

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