Dae Hyeon Pahk

Existence of nodal solutions of nonlinear elliptic equations

We establish that, for

Regularity for solutions of a certain elliptic equation near a nonsmooth interface

n\geq3

On the gevrey regularity of hypoelliptic boundary value problems

, the elliptic equation

Spectral properties for layer potentials associated to the Stokes equation in Lipschitz domains

-\Delta u=\lambda|x|^\mu|u|^{q-2}u+|x|^\nu|u|^{p-2}u

Nonexistence of nodal solutions of nonlinear elliptic equations

on a ball with zero Dirichlet data possesses a pair of nodal radial solutions for all

Relation between Solvability and a Regularity of Convolution Operators in K′p, p>1

\lambda>0

Convolution and Fourier Transform over the Spaces

provided that