Displaying similar documents to “Examples of non-local time dependent or parabolic Dirichlet spaces”

Some applications of minimax and topological degree to the study of the Dirichlet problem for elliptic partial differential equations

Leszek Gęba, Tadeusz Pruszko (1991)

Annales Polonici Mathematici

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This paper treats nonlinear elliptic boundary value problems of the form (1) L[u] = p(x,u) in Ω ⊂ ℝ n , u = D u = . . . = D m - 1 u on ∂Ω in the Sobolev space W 0 m , 2 ( Ω ) , where L is any selfadjoint strongly elliptic linear differential operator of order 2m. Using both topological degree arguments and minimax methods we obtain existence and multiplicity results for the above problem.

The Dirichlet space: a survey.

Arcozzi, Nicola, Rochberg, Richard, Sawyer, Eric T., Wick, Brett D. (2011)

The New York Journal of Mathematics [electronic only]

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A remark on product of Dirichlet L-functions

Kirti Joshi, C. S. Yogananda (1999)

Acta Arithmetica

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While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.

Results on existence of solution for an optimal design problem.

Carmen Calvo Jurado, Juan Casado Díaz (2003)

Extracta Mathematicae

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In this paper we study a control problem for elliptic nonlinear monotone problems with Dirichlet boundary conditions where the control variables are the coefficients of the equation and the open set where the partial differential problem is studied.