Existence and regularity for a minimum problem with free boundary.
Existence of a solution of a Fourier nonlocal quasilinear parabolic problem.
Existence of bounded biharmonic functions.
Existence of feasible potentials on infinite networks.
Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems.
Existence of positive harmonic functions on groups and on covering manifolds
Existence of positive solutions for two nonlinear eigenvalue problems.
Existence of quasi-isometric mappings and Royden compactifications.
Existence of solutions for a family of polyharmonic and biharmonic equations.
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 the boundary value of a polyharmonic function.
Explicit solution of the jump problem for the Laplace equation and singularities at the edges.
Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact
We show that discrete exponentials form a basis of discrete holomorphic functions on a finite critical map. On a combinatorially convex set, the discrete polynomials form a basis as well.
Extensions of operators and the Dirichlet problem in potential theory
Extremal Length and Univalent Functions, I. The Angular Derivative.
Extremal Length, Extremal Regions and Quadratic Differentials.
Extremal length of vector measures.
Extremal plurisubharmonic functions
We study different notions of extremal plurisubharmonic functions.
Extremal plurisubharmonic functions and invariant pseudodistances