6 papers
Global tangential Calderon-Zygmund type estimates for the regional fractional Laplacian
Sujin Khomrutai, Armin Schikorra, Adisak Seesanea +1
We discuss tangential Sobolev-estimates up to the boundary for solutions to the regional fractional laplacian on the upper half-plane. These estimates can be used to reduce the bou…
The Dirichlet problem for sublinear elliptic equations with source
Kentaro Hirata, Adisak Seesanea
We present a necessary and sufficient condition on nonnegative Radon measures and for the existence of a positive continuous solution of the Dirichlet problem for the subli…
Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms
Takanobu Hara, Adisak Seesanea
We study the existence of positive solutions to quasilinear elliptic equations of the type \[ -Δ_{p} u = σu^{q} + μ\quad \text{in} \ \mathbb{R}^{n}, \] in the sub-natural growth ca…
Solutions in Lebesgue spaces to nonlinear elliptic equations with sub-natural growth terms
Adisak Seesanea, Igor E. Verbitsky
We study the existence problem for positive solutions , , to the quasilinear elliptic equation \[ -Δ_{p} u = σu^{q} \quad \text{in} \;\; \m…
Extensions of the Heisenberg group by two-parameter groups of dilations
Eckart Schulz, Adisak Seesanea
We introduce extensions of the multidimensional Heisenberg group by two-parameter groups of dilations, and then classify the extended groups up to isomorphism, by em…
Solutions to sublinear elliptic equations with finite generalized energy
Adisak Seesanea, Igor E. Verbitsky
We give necessary and sufficient conditions for the existence of a positive solution with zero boundary values to the elliptic equation \[ \mathcal{L}u = σu^{q} + μ\quad \text{in}…