Results 21 to 30 of about 5,574,278 (283)
Journal für die reine und angewandte Mathematik (Crelles Journal), 1984 Let S(U) denote the cone of all P-bounded real continuous functions on a P-harmonic space \((X,^*H)\) which are superharmonic on the open subset \(U\subseteq X\). The authors have previously shown [Invent. Math. 29, 83- 110 (1975; Zbl 0308.31011)] that \(S(U)\) is implying that the weak Dirichlet problem is solvable: For any compact subset \(K\subseteq
Hansen, W., Bliedner, J.
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A multiplicity theorem for a variable exponent Dirichlet problem
, 2008 We consider a nonlinear Dirichlet problem driven by the p(ċ)-Laplacian. Using variational methods based on the critical point theory, together with suitable truncation techniques and the use of upper-lower solutions and of critical groups, we show that ...
Rocha, EM +3 more
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Časopis pro pěstování matematiky, 1958 Let S + be a connected region, bounded by simple smooth non- intersecting contours Lo, L1 …, LP the first of which contains all the others. By L will be understood the union of these contours; as usual, the positive direction on L will be taken such that S + remains on the left. The contour Lo may be absent in which case S+ is infinite.
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Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
Advances in Difference Equations, 2018 We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet ...
Taiyong Chen, Wenbin Liu
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Solutions of anisotropic elliptic equations in unbounded domains
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova +1 more
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Alternative Dirichlet Priors for Estimating Entropy via a Power Sum Functional
Mathematics, 2021 Entropy is a functional of probability and is a measurement of information contained in a system; however, the practical problem of estimating entropy in applied settings remains a challenging and relevant problem. The Dirichlet prior is a popular choice
Tanita Botha +2 more
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International Journal of Mathematics and Mathematical Sciences, 2004 We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean ...
Fei-Tsen Liang
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Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations
Mathematics, 2023 Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Hongfen Yuan, Valery Karachik
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Constructive Aspects of the Dirichlet Problem
J. Univers. Comput. Sci., 1997 JUCS - Journal of Universal Computer Science Volume Nr.
Bridges,Douglas, Yuchuan,Wang
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New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
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