Results 61 to 70 of about 939 (135)
Quasi‐conical domains with embedded eigenvalues
Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2969-2981, September 2024.Abstract The spectrum of the Dirichlet Laplacian on any quasi‐conical open set coincides with the non‐negative semi‐axis. We show that there is a connected quasi‐conical open set such that the respective Dirichlet Laplacian has a positive (embedded) eigenvalue.
David Krejčiřík, Vladimir Lotoreichik
wiley +1 more source
Convergence of nonlinear semigroups under nonpositive curvature [PDF]
, 2013 The present paper is devoted to semigroups of nonexpansive mappings on metric spaces of nonpositive curvature. We show that the Mosco convergence of a sequence of convex lsc functions implies convergence of the corresponding resolvents and convergence of
Bacak, Miroslav
core
Convergence of nonlinear integrodifferential reaction-diffusion equations via Mosco
, 2022 Omar Anza Hafsa +2 more
openalex +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 4319-4344, April 2024.We define the concept of energy‐variational solutions for the Navier–Stokes and Euler equations and prove their existence in any space dimension. It is shown that the concept of energy‐variational solutions enjoys several desirable properties. Energy‐variational solutions are not only known to exist and coincide with local strong solutions, but the ...
Robert Lasarzik
wiley +1 more source
Stable domains for higher order elliptic operators
Comptes Rendus. MathématiqueThis paper is devoted to prove that any domain satisfying a $(\delta _0,r_0)$-capacitary condition of first order is automatically $(m,p)$-stable for all $m\geqslant 1$ and $p> 1$, and for any dimension $N\geqslant 1$.
Grosjean, Jean-François +2 more
doaj +1 more source
The role of interplay between coefficients in the $G$-convergence of some elliptic equations
, 2016 We study the behavior of the solutions $u$ of the linear Dirichlet problems $- \mathrm{div} (M(x) \nabla u) + a(x) u = f(x)$ with respect to perturbations of the matrix $M(x)$ (with respect to the $G$-convergence) and with respect to perturbations of the
Boccardo, Lucio +2 more
core +1 more source
Mosco convergence in locally convex spaces
Journal of Functional Analysis, 1992 Given a dual pair \(E\), \(F\) of locally convex spaces, each with its corresponding weak topology \(\sigma\) and Mackey topology \(\tau\), one says that a sequence \(\{f_ n\}\) of functions \(E\to [-\infty,\infty]\) (or \(F\to [-\infty,\infty]\)) is Mosco-convergent to a function \(f_ 0\) if the following conditions are satisfied for each \(v\) in \(E\
openaire +2 more sources
Existence of continuous solutions to evolutionary quasi-variational inequalities with applications
Le Matematiche, 2007 The author presents dynamic elastic traffic equilibrium problems with data depending explicitly on time and studies under which assumptions the continuity of solutions with respect to the time can be ensured.
Annamaria Barbagallo
doaj
A skew stochastic heat equation
, 2011 We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invariant measure of Gibbs type, with a non-convex potential.
Bounebache, Said Karim +1 more
core
Unilateral problems for quasilinear operators with fractional Riesz gradients
Advances in Nonlinear AnalysisIn this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex-constrained Dirichlet-type problems involving fractional Riesz gradients in bounded and in unbounded domains Ω⊂Rd\Omega \subset {{\mathbb{R ...
Campos Pedro Miguel +1 more
doaj +1 more source