Results 31 to 40 of about 1,588 (189)

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Existence of solutions for sublinear equations on exterior domains

Electronic Journal of Differential Equations, 2017
In this article we prove the existence of an infinite number of radial solutions of $\Delta u + K(r)f(u)= 0$, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ...
Joseph A. Iaia
doaj  

DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE

Ural Mathematical Journal, 2016
The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the
Marina V. Plekhanova
doaj   +1 more source

Semilinear Li and Yau inequalities

Annali di Matematica Pura ed Applicata (1923 -), 2022
AbstractWe derive an adaptation of Li and Yau estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We then apply these estimates to obtain a Harnack inequality and to discuss monotonicity, convexity, decay estimates and triviality of ancient and eternal solutions.
Castorina, D, Catino, G, Mantegazza, C
openaire   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

Nontrivial solutions of semilinear elliptic systems in R^N

Electronic Journal of Differential Equations, 2001
We establish an existence result for strongly indefinite semilinear elliptic systems in R^N.
Jianfu Yang
doaj  

Stability in Semilinear Problems

Journal of Differential Equations, 2000
The author derives results concerning the continuous dependence of solutions on the right-hand side for a semilinear operator equation \(Lu=\nabla g(u)\), by assuming that \(L: D(L)\subset H\to H\) (\(H\) -- a Hilbert space) is selfadjoint, which a closed range, and \(g: H\to \mathbb{R}\) is continuous convex on \(H\) and Gâteaux differentiable on \(D ...
openaire   +1 more source

The role of the curvature of a surface in the shape of the solutions to elliptic equations

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali, Massimo Grossi, Luigi Provenzano   +2 more
wiley   +1 more source

Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator

Boundary Value Problems, 2023
We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18(3):253–268, 2003) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic equation involving the polyharmonic operator.
Dandan Yang, Pei Ma, Xiaohuan Wang, Hongyi Li   +3 more
doaj   +1 more source

Existence of Solutions of Semilinear Wave Equations With Time‐Dependent Propagation Speed and Time Derivative Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 8681-8690, June 2026.
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley   +1 more source