Results 31 to 40 of about 12,245,009 (305)

Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

open access: yesNonlinear Analysis: Modelling and Control, 2018
In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball.
Jianxin He   +3 more
semanticscholar   +1 more source

THE DIRICHLET PROBLEM FOR TRANSVERSELY-ISOTROPIC PANEL

open access: yesАвіаційно-космічна техніка та технологія, 2017
This paper is a part of series of previous published papers which are devoted to obtaining analytically-numerical solutions of boundary value problems of the theory of shells and plates with arbitrary stresses and inhomogeneous boundary conditions of the
Сиявуш Ахмедович Халилов   +5 more
doaj   +1 more source

The Dirichlet Problem for the fractional p-Laplacian evolution equation [PDF]

open access: yes, 2015
We consider a model of fractional diffusion involving the natural nonlocal version of the $p$-Laplacian operator. We study the Dirichlet problem posed in a bounded domain $\Omega$ of ${\mathbb{R}}^N$ with zero data outside of $\Omega$, for which the ...
Juan Luis V'azquez
semanticscholar   +1 more source

The Cauchy–Dirichlet problem for a general class of parabolic equations [PDF]

open access: yes, 2015
We prove regularity results such as interior Lipschitz regularity and boundary continuity for the Cauchy–Dirichlet problem associated to a class of parabolic equations inspired by the evolutionary p-Laplacian, but extending it at a wide scale.
P. Baroni, Casimir Lindfors
semanticscholar   +1 more source

The weak Dirichlet problem.

open access: yesJournal 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.
openaire   +2 more sources

Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian

open access: yesAdvances 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
doaj   +1 more source

Solutions of anisotropic elliptic equations in unbounded domains

open access: yesVestnik 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
doaj   +1 more source

Alternative Dirichlet Priors for Estimating Entropy via a Power Sum Functional

open access: yesMathematics, 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
doaj   +1 more source

Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations

open access: yesMathematics, 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
doaj   +1 more source

The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds [PDF]

open access: yesAdvances in Mathematics, 2014
We study a class of fully nonlinear elliptic equations on Riemannian manifolds and solve the Dirichlet problem in a domain with no geometric restrictions to the boundary under essentially optimal structure conditions.
Bo Guan
semanticscholar   +1 more source

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