Results 321 to 330 of about 11,399,904 (367)

Relaxation for Dirichlet Problems Involving a Dirichlet Form

Zeitschrift für Analysis und ihre Anwendungen, 2000
For a fixed Dirichlet form, we study the space of positive Borel measures (possibly infinite) which do not charge polar sets. We prove the density in this space of the set of the measures which represent varying, domains. Our method is constructive. For the Laplace operator, the proof was based on a pavage of the space. Here, we substitute
BIROLI, MARCO, TCHOU N.
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The Dirichlet Problem [PDF]

, 1991
This chapter is devoted to studying boundary value problems for second-order elliptic equations. The variational (also known as Hilbert space) approach to the Dirichlet problem is emphasized. Maximum principles are discussed in §5.10 and §5.11, which are independent of the preceding sections and are essential reading along with §5.1, §5.2, and §5.3 ...
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The Dirichlet Problem

2014
The natural Dirichlet problem in C n is not the classical one for solutions of the Laplace equation but rather for solutions of the Monge–Ampere equation. We present the solution of this Dirichlet problem in a ball.
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Superlinear Dirichlet problems

Nonlinear Analysis: Theory, Methods & Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A recurrence for Dirichlet problems

Computing, 1982
The formal integration of the differential eq. to an integral equation allows the iterative construction of a class of “basic” functions which, characterized by the kernel, are suitable for developing the solution to the boundary value problem.
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Free interpolation and the Dirichlet problem

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 135, 51-65 (Russian) (1984; Zbl 0539.31002).
A. O. Derviz, V. P. Khavin
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The Dirichlet Problem

The Mathematical Intelligencer, 1979
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The Dirichlet Problem for a Hyperbolic Equation

American Journal of Mathematics, 1941
This paper deals with the Dirichlet problem for the hyperbolic differential equation $${U_{xy}} = 0$$ (1) i. e. with the problem of determining a solution u of (1) from given values on a closed curve C.1 Simple examples show that the Dirichlet problem for a hyperbolic equation has a completely different character from that of the ...
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Existence and nonexistence to exterior Dirichlet problem for Monge–Ampère equation

Calculus of Variations and Partial Differential Equations, 2018
Yanyan Li, Siyuan Lu
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The Dirichlet problem for thep-fractional Laplace equation

Nonlinear Analysis, 2018
Giampiero Palatucci
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