Displaying similar documents to “On a singulary perturbed, coupled elliptic-elliptic problem.”

On some elliptic transmission problems

Christodoulos Athanasiadis, Ioannis G. Stratis (1996)

Annales Polonici Mathematici

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Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of ℝ N . The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers...

Positive solutions of nonlinear elliptic systems

Robert Dalmasso (1993)

Annales Polonici Mathematici

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We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, L ∞ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.

On asymptotic independence of the exit moment and position from a small domain for diffusion processes

Vitalii Gasanenko (2003)

Open Mathematics

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If ξ(t) is the solution of homogeneous SDE in R m, and T ∃ is the first exit moment of the process from a small domain D ∃, then the total expansion for the following functional showing independence of the exit time and exit place is E e x p ( - λ T ε ) f ( ξ ( T ε ) ε ) - E e x p ( - λ T ε ) E f ( ξ ( T ε ) ε ) , ε ↘ 0 , λ > 0 .