Results 81 to 90 of about 92,595 (298)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7609-7629, 15 May 2025.This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia +2 more
wiley +1 more source
Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type [PDF]
Opuscula Mathematica, 2005 The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem.
Tomasz S. Zabawa
doaj
Locating the peaks of semilinear elliptic systems
, 2005 We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function $\Sigma$ as well as representation formulas for the left and the right ...
Pomponio, Alessio, Squassina, Marco
core +1 more source
The free boundary for semilinear problems with highly oscillating singular terms
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We investigate general semilinear (obstacle‐like) problems of the form Δu=f(u)$\Delta u = f(u)$, where f(u)$f(u)$ has a singularity/jump at {u=0}$\lbrace u=0\rbrace$ giving rise to a free boundary. Unlike many works on such equations where f$f$ is approximately homogeneous near {u=0}$\lbrace u = 0\rbrace$, we work under assumptions allowing ...
Mark Allen +2 more
wiley +1 more source
On a uniform estimate for positive solutions of semilinear elliptic equations [PDF]
, 2012 We consider semilinear elliptic equations with Dirichlet boundary conditions in a Lipschitz, possibly unbounded, domain. Under suitable assumptions on the nonlinearity, we deduce a condition on the size of the domain that implies the existence of a ...
Sourdis, Christos
core
Optimal control of fractional semilinear PDEs
, 2019 In this paper we consider the optimal control of semilinear fractional PDEs with both spectral and integral fractional diffusion operators of order $2s$ with $s \in (0,1)$.
Antil, Harbir, Warma, Mahamadi
core +1 more source
Reduced measures for semilinear elliptic equations involving Dirichlet operators [PDF]
, 2016 We consider elliptic equations of the form (E) $$-Au=f(x,u)+\mu $$-Au=f(x,u)+μ, where A is a negative definite self-adjoint Dirichlet operator, f is a function which is continuous and nonincreasing with respect to u and $$\mu $$μ is a Borel measure of ...
Tomasz Klimsiak
semanticscholar +1 more source
A Singular Semilinear Elliptic Equation with a Variable Exponent
Advanced Nonlinear Studies, 2016 Abstract In this paper we consider singular semilinear elliptic equations with a variable exponent whose model problem is
Carmona Tapia, José +1 more
openaire +2 more sources
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
Journal of Function Spaces and Applications, 2013 This paper mainly dealt with the exact number and global bifurcation of positive solutions for a class of semilinear elliptic equations with asymptotically linear function on a unit ball.
Benlong Xu
doaj +1 more source