On strong solvability of one nonlocal boundary value problem for Laplace equation in rectangle

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

A completeness criterion for a double power system with degenerate coefficients
On the frame properties of degenerate system of sines
Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces
Basis property of eigenfunctions in Lebesgue spaces for a spectral problem with a point of discontinuity
On local solvability of higher order elliptic equations in rearrangement invariant spaces
On Frankl type problems for some elliptic equations with degeneration of various kinds
The solution of a nonlocal boundary value problem by the spectral method
The L p Behavior of Eigenfunction Expansions
Weighted norm inequalities for maximal functions and singular integrals
On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
A weighted norm inequality for Fourier series
Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces
On solvability in the small of higher order elliptic equations in grand-Sobolev spaces
Interior Schauder-Type Estimates for Higher-Order Elliptic Operators in Grand-Sobolev Spaces
Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces
On the basicity of eigenfunctions of a second-order differential operator with a discontinuity point in weighted Lebesgue spaces
On weighted W^2,p estimates for elliptic equations with BMO coefficients in nondivergence form
On the Fredholmness of the Dirichlet problem for a second-order elliptic equation in grand-Sobolev spaces
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