Results 71 to 80 of about 153 (146)
Asymptotic growth rate of solutions to level‐set forced mean curvature flows with evolving spirals
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 748-770, March 2025.Abstract Here, we study a level‐set forced mean curvature flow with evolving spirals and the homogeneous Neumann boundary condition, which appears in a crystal growth model. Under some appropriate conditions on the forcing term, we prove that the solution is globally Lipschitz.
Hiroyoshi Mitake, Hung V. Tran
wiley +1 more source
Existence and comparison results for quasilinear evolution hemivariational inequalities
Electronic Journal of Differential Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl +2 more
doaj
Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We study a superlinear subcritical problem at infinity of the form $-\Delta u=a(x) u^{-\alpha}+f(\lambda,x,u)$ in $\Omega$, $u=0$ on $\partial\Omega$, $u>0$ in $\Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$, $0\leq a\in L^{\infty ...
Tomas Godoy, Alfredo Guerin
doaj +1 more source
Swin2‐MoSE: A new single image supersolution model for remote sensing
IET 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
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper serves as a corrigendum to the paper "Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems", published in Electron J. Qual. Theory Differ. Equ. 2017, No. 100, 1–30.
Tomas Godoy, Alfredo Guerin
doaj +1 more source
Harmonic balls in Liouville quantum gravity
Proceedings 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
Discrete and Continuous Dynamical Systems, 2018 The main result of the paper concerns the existence of a solution \((u,v)\), defined on the half-line \(\mathbb{R}^+\), to the system \[ \begin{split} &-du''=\mu(x)f(u)-v, \\ &-v''+\gamma v=u \end{split} \] with boundary conditions that express the connection between two equilibria \[ (u,v)(0)=(0,0),\quad (u,v)(+\infty)=(a_\gamma,a_\gamma/\gamma ...
openaire +3 more sources
The sub-supersolution method for Kirchhoff systems: applications
, 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
Differential equations of divergence form in Musielak–Sobolev spaces and a sub-supersolution method
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider singular problems of the form $-\Delta u=k\left( \cdot,u\right) -h\left( \cdot,u\right) $ in $\Omega,$ $u=0$ on $\partial\Omega,$ $u>0$ in $\Omega,$ where $\Omega$ is a bounded $C^{1,1}$ domain in $\mathbb{R}^{n},$ $n\geq2,$ $h:\Omega ...
Tomas Godoy, Alfredo Guerin
doaj +1 more source