Rudakova O. Г-convergence of integral functionals and homogenization of variational problems with degenerations in domains of composite structure

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U000081

Thesis Registration Form

0412U000081.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

22-12-2011

Specialized Academic Board

Д 11.193.03

Essay

In the thesis we study the questions of Г-compactness and Г-convergence, homogenization for integral functionals defined on variable weighted Sobolev spaces and the questions of convergence of solutions of some variational problems for these functionals. We investigate functionals and first of all integral functionals defined on weighted Sobolev spaces. The growth and coercivity conditions on integrands of functionals contain a weighted function and unbounded sequence of functions.

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Files

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