# STRONGLY NONLINEAR ELLIPTIC VARIATIONAL UNILATERAL PROBLEMS IN ORLICZ SPACE

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It is shown that the Dirichlet problem in a multidimensional domain for the Lavrent'ev-Bitsadze equation is uniquely solvable. A criterion of the uniqueness of the solution is obtained.

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The article offers information on the existence of a global weak solution to the Navier-Stokes equations that is time dependent for a nonlinearity viscous incompressible fluid. It discusses the product of vector function's two sequences wn and âˆ‡ un meeting weakly in two Lebesgue spaces...

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The article presents a methodology for obtaining conditions in order to derive a unique solution for a Dirichlet problem involving a pseudoparabolic equation. It notes that the proposed methodology employs the reduction of the problem to Fredholm integral equations wherein the unique solvability...

- A nonlocal boundary value problem for the Lavrent'ev-Bitsadze equation. Moiseev, E.; Likhomanenko, T. // Doklady Mathematics;Sep2012, Vol. 86 Issue 2, p635
The article focuses on nonlocal boundary value problems for the Lavrent'ev-Bitsadze equation in two- and three-dimensional cases. It notes that the dirichlet problem is solvable if a countable set of orthogonality is provided on the sight-hand side of the nonlocal condition for some other values...