TY  - JOUR
A1  - Alsaedy, Ammar
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Normally solvable nonlinear boundary value problems
JF  - Nonlinear analysis : theory, methods & applications ; an international multidisciplinary journal
N2  - We investigate nonlinear problems which appear as Euler-Lagrange equations for a variational problem. They include in particular variational boundary value problems for nonlinear elliptic equations studied by F. Browder in the 1960s. We establish a solvability criterion of such problems and elaborate an efficient orthogonal projection method for constructing approximate solutions.
KW  - Nonlinear Laplace operator
KW  - Boundary value problem
KW  - Dirichlet to Neumann operator
Y1  - 2014
U6  - https://doi.org/10.1016/j.na.2013.09.024
SN  - 0362-546X
SN  - 1873-5215
VL  - 95
SP  - 468
EP  - 482
PB  - Elsevier
CY  - Oxford
ER  - 
TY  - JOUR
A1  - Mkrtchian, Vanik E.
A1  - Henkel, Carsten
T1  - Green function solution of generalised boundary value problems
JF  - Physics Letters A
N2  - We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal boundary conditions. The construction applies for a broad class of linear partial differential equations and linear boundary conditions.
KW  - Boundary value problem
KW  - Green function
Y1  - 2020
U6  - https://doi.org/10.1016/j.physleta.2020.126573
SN  - 0375-9601
SN  - 1873-2429
SN  - 0031-9163
VL  - 384
IS  - 23
PB  - Elsevier
CY  - Amsterdam
ER  -