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math.AP2020
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…
math.AP2020
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…