On certain oscillatory properties for solutions of an equation with a biharmonic leading part
On certain reflexion principes
On duality and interpolation for spaces of polyharmonic functions
On extensions of the Mittag-Leffler theorem
The classical Mittag-Leffler theorem on meromorphic functions is extended to the case of functions and hyperfunctions belonging to the kernels of linear partial differential operators with constant coefficients.
On Hadamard's problem for higher dimensions.
On -solutions of the Laplace equation and zeros of holomorphic functions
On the dimension of -harmonic measure in space
Let , and let , be given. In this paper we study the dimension of -harmonic measures that arise from non-negative solutions to the -Laplace equation, vanishing on a portion of , in the setting of -Reifenberg flat domains. We prove, for , that there exists small such that if is a -Reifenberg flat domain with , then -harmonic measure is concentrated on a set of -finite -measure. We prove, for , that for sufficiently flat Wolff snowflakes the Hausdorff dimension of -harmonic measure...
On the existence of solutions to a fourth-order quasilinear resonant problem.
On the Regularity of the Solution of the Biharmonic Variational Inequality.
Optimal conditions for anti-maximum principles