Results 71 to 80 of about 11,399,904 (367)
AIMS Mathematics, 2022 In this paper, we consider the symmetric interior penalty Galerkin (SIPG) method which is one of Discontinuous Galerkin Methods for the Dirichlet optimal control problems governed by linear advection-diffusion-reaction equation on a convex polygonal ...
Cagnur Corekli
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The Yamabe problem on Dirichlet spaces [PDF]
, 2013 We continue our previous work studying critical exponent semilinear elliptic (and subelliptic) problems which generalize the classical Yamabe problem. In [3] the focus was on metric-measure spaces with an `almost smooth' structure, with stratified spaces
Gilles Carron +3 more
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The Annals of Mathematics, 1922 "Reprinted from Annals of mathematics, vol. XXIII., no. 3, March, 1922." ; Cover title. ; Thesis (PH.D.)--Princeton University, 1923. ; Mode of access: Internet.
openaire +2 more sources
The Dirichlet problem for elliptic systems with data in Köthe function spaces [PDF]
, 2014 We show that the boundedness of the Hardy–Littlewood maximal operator on a Kothe function space X and on its Kothe dual X' is equivalent to the well-posedness of the X-Dirichlet and X'-Dirichlet problems inRn+ in the class of all second-order ...
J. M. Martell +3 more
semanticscholar +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
Bipolynomial fractional Dirichlet-Laplace problem
Electronic Journal of Differential Equations, 2019 In the article, we derive the existence of solutions for a nonlinear non-autonomous partial elliptic system on an open bounded domain with Dirichlet boundary conditions.
Dariusz Idczak
doaj
An inverse problem of Calderon type with partial data [PDF]
, 2011 A generalized variant of the Calder\'on problem from electrical impedance tomography with partial data for anisotropic Lipschitz conductivities is considered in an arbitrary space dimension $n \geq 2$.
Behrndt, Jussi, Rohleder, Jonathan
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Three topological problems about integral functionals on Sobolev spaces
, 2004 In this paper, I propose some problems, of topological nature, on the energy functional associated to the Dirichlet problem -\Delta u = f(x,u) in Omega, u restricted to the boundary of Omega is 0.
Ricceri, Biagio
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The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds
, 2015 We apply some new ideas to derive $C^2$ estimates for solutions of a general class of fully nonlinear elliptic equations on Riemannian manifolds under a ``minimal'' set of assumptions which are standard in the literature.
Bo Guan, H. Jiao
semanticscholar +1 more source
Dirichlet problem of quaternionic Monge–Ampère equations [PDF]
, 2014 In this paper, the author studies quaternionic Monge–Ampère equations and obtains the existence and uniqueness of the solutions to the Dirichlet problem for such equations without any restriction on domains. Our paper aims to answer the question proposed
Jingyong Zhu
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