Results 21 to 30 of about 138,114 (286)
Positive solutions for a class of singular elliptic system
In this paper, we mainly study the existence, boundary behavior and uniqueness of solutions for the following singular elliptic systems involving weights $-\triangle u =w(x)u^{-p}v^{-q}, -\triangle v =\lambda(x)u^{-r}v^{-s}, u>0, v>0, \ x\in \Omega, \
Ling Mi
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The supervised hierarchical Dirichlet process [PDF]
We propose the supervised hierarchical Dirichlet process (sHDP), a nonparametric generative model for the joint distribution of a group of observations and a response variable directly associated with that whole group.
Dai, Andrew M., Storkey, Amos J.
core +1 more source
On Ambarzumian type theorems for tree domains [PDF]
It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
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In early works the author studied the Dirichlet and Poincaré problems for multidimensional hyperbolic equations, which shows the well-posedness of these problems in cylindrical domains, significantly dependent on the height of the considered cylindrical ...
Serik A Aldashev
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Positive solutions for nonlinear parametric singular Dirichlet problems [PDF]
We consider a nonlinear parametric Dirichlet problem driven by the p-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Carathéodory perturbation which is (p − 1)-linear near + ∞.
Nikolaos S. Papageorgiou +2 more
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TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska +1 more
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Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains
We deal with Dirichlet problems of the ...
Molle Riccardo, Passaseo Donato
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Pareto optimal compositions of alloy catalyst for oxygen reduction reaction are uncovered through multi‐objective Bayesian optimization of activity, stability, and material cost in an eight‐element high‐entropy alloy composition space. The substantial Pareto front obtained is compared to experimental literature and analyzed to elucidate the roles and ...
Mads K. Plenge +4 more
wiley +2 more sources
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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