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
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Mosco Convergence of Gradient Forms with Non-Convex Interaction Potential
Integral Equations and Operator TheoryAbstractThis article provides a new approach to address Mosco convergence of gradient-type Dirichlet forms, $${\mathcal {E}}^N$$ E N on $$L^2(E,\mu _N)$$
Grothaus, Martin, Wittmann, Simon
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Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence.
Michigan Mathematical Journal, 1994 This rather comprehensive article deals with interplay between the set convergences of the title. The most principal and typical result reads: Mosco and slice convergences coincide if and only if the weak-star and norm topologies agree on the dual sphere.
Borwein, Jon, Vanderwerff, Jon
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Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces [PDF]
Fixed Point Theory and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Muhammad +2 more
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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
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Mosco-convergence and Wiener measures for conductive thin boundaries
Journal of Mathematical Analysis and Applications, 2011 The main result reads as follows. Let \(R \leq \infty\) and \(F_{R}^{\epsilon}\) and \(F_{R}\) be the energy functionals defined in \(L^2(\Omega_R, d \mu^\epsilon)\) and \(L^2(\Omega_R, d \mu^\prime)\), respectively. It follows that \(F_{R}^{\epsilon}\) and \(F_{R}\) are local and regular Dirichlet forms. Assume \(R < \infty\). If \(\alpha\geq 0\) and \
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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
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On a theorem about Mosco convergence in Hadamard spaces
, 2020 Let $(f^n),f$ be a sequence of proper closed convex functions defined on a Hadamard space. We show that the convergence of proximal mappings $J^n_λx$ to $J_λx$, under certain additional conditions, imply Mosco convergence of $f^n$ to $f$. This result is a converse to a theorem of Bacak about Mosco convergence in Hadamard spaces.
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Mosco convergence of gradient forms with non-convex potentials II
Potential AnalysisAbstract This article provides a scaling limit for a family of skew interacting Brownian motions in the context of mesoscopic interface models. Let $$M,d\in \mathbb {N}$$
Grothaus, Martin, Wittmann, Simon
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On multivalued martingales whose values may be unbounded: martingale selectors and mosco convergence
Journal of Multivariate Analysis, 1991 Two results on the existence of martingale selections for a multivalued martingale are proved using classical properties of the projective limit of a sequence of subsets. Also, some further properties of the martingale selections are established. Finally some applications are given.
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