Results 81 to 90 of about 1,967,647 (144)

The existence of positive solution for singular Kirchhoff equation with two parameters

open access: yesBoundary Value Problems, 2019
In this paper, we consider the singular Kirchhoff equation with two parameters {−a(∫Ω|∇u(x)|2dx)△u(x)+K(x)g(u)=λf(x,u)+μh(x)in Ω,u>0in Ω,u=0on ∂Ω. $$\textstyle\begin{cases} -a ( \int_{\varOmega}|\nabla u(x)|^{2}\,dx )\triangle u(x)+K(x)g(u)=\lambda f(x,u)
Ke Di, Baoqiang Yan
doaj   +1 more source

Swin2‐MoSE: A new single image supersolution model for remote sensing

open access: yesIET Image Processing, Volume 19, Issue 1, January/December 2025.
In this paper, we propose Swin2‐MoSE model, an enhanced version of Swin2SR, for Remote‐Sensing Single‐Image Super‐Resolution. Our model introduces MoE‐SM, an enhanced Mixture‐of‐Experts (MoE) to replace the Feed‐Forward inside all Transformer block. MoE‐SM is designed with Smart‐Merger, and new layer for merging the output of individual experts, and ...
Leonardo Rossi   +4 more
wiley   +1 more source

Harmonic balls in Liouville quantum gravity

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.
Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley   +1 more source

Positive Solutions of a General Discrete Dirichlet Boundary Value Problem

open access: yesDiscrete Dynamics in Nature and Society, 2016
A steady state equation of the discrete heat diffusion can be obtained by the heat diffusion of particles or the difference method of the elliptic equations.
Xinfu Li, Guang Zhang
doaj   +1 more source

Existence and comparison results for variational-hemivariational inequalities

open access: yesJournal of Inequalities and Applications, 2005
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional.
Carl S
doaj  

Existence of positive solutions for fractional Laplacian equations: theory and numerical experiments

open access: yesElectronic Journal of Differential Equations, 2020
We consider a class of nonlinear fractional Laplacian problems satisfying the homogeneous Dirichlet condition on the exterior of a bounded domain. We prove the existence of positive weak solution for classes of sublinear nonlinearities including ...
Maya Chhetri   +2 more
doaj  

The sub-supersolution method for Kirchhoff systems: applications

open access: yes, 2016
In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.
Malcher Figueiredo, Giovany de Jesus   +7 more
openaire   +2 more sources

Positive solutions for Sturm-Liouville BVPs on time scales via sub-supersolution and variational methods

open access: yes, 2013
This paper is concerned with the existence of one and two positive solutions for the following Sturm-Liouville boundary value problem on time scales {−(p(t)uΔ(t))Δ+q(t)uσ(t)=f(t,uσ(t)),t∈[0,T]T,α1u(0)−α2uΔ(0)=0,α3u(σ2(T))+α4uΔ(σ(T))=0.
Quanguo Zhang   +2 more
semanticscholar   +1 more source

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