Voitovych M. Properties of solutions of nonlinear high-order equations with strengthened ellipticity.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U001095

Thesis Registration Form

0412U001095.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

22-12-2011

Specialized Academic Board

Д 11.193.03

Essay

The Object: the Dirichlet problem for a class of nonlinear high-order equations with strengthened ellipticity and variational Dirichlet problem for the integral functionals with strengthened coercivity. The Methods: analogue of Stampacchia's method, elements of theory of Sobolev spaces, method of monotone operators, integral estimates of solutions. To be Offered: a method of investigation of summability of solutions of nonlinear high-order equations with strengthened ellipticity. The Sphere of Use: theoretical investigations in the field of partial differential equations.

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