Existence of solutions for -Laplacian equations.
Existence of solutions for some nonlinear elliptic equations.
Existence of solutions to microhyperbolic boundary value problems
Existence of solutions to -dimensional pendulum-like equations.
Existence of solutions to nonlocal and singular elliptic problems via Galerkin method.
Existence of solutions to the Poisson equation in -weighted spaces
We examine the Poisson equation with boundary conditions on a cylinder in a weighted space of , p≥ 3, type. The weight is a positive power of the distance from a distinguished plane. To prove the existence of solutions we use our result on existence in a weighted L₂ space.
Existence of solutions to the Poisson equation in L₂-weighted spaces
We consider the Poisson equation with the Dirichlet and the Neumann boundary conditions in weighted Sobolev spaces. The weight is a positive power of the distance to a distinguished plane. We prove the existence of solutions in a suitably defined weighted space.
Existence of Surfaces with Prescribed Mean Curvature Vector.
Existence of weak solutions for a nonlinear elliptic system.
Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains.
Existence of weak solutions for elliptic Dirichlet problems with variable exponent
This paper presents several sufficient conditions for the existence of weak solutions to general nonlinear elliptic problems of the type where is a bounded domain of , . In particular, we do not require strict monotonicity of the principal part , while the approach is based on the variational method and results of the variable exponent function spaces.
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations.
Existence results for nonlinear elliptic equations in bounded domains of .
Existence results for semilinear elliptic equations with small measure data
Expanded mixed finite element methods for linear second-order elliptic problems, I
Explicit solution of the jump problem for the Laplace equation and singularities at the edges.
Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too.
Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
External finite element approximations of eigenvalue problems
Extremal equilibria for parabolic non-linear reaction-diffusion equations