5 papers · 1 filter
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…
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}…