U. Kaufmann

activity

20172025

most citedUniqueness and sign properties of minimizers in a quasilinear indefinite problem

3 citations · 6 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020★ 2 cited

Uniqueness and positivity issues in a quasilinear indefinite problem

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

We consider the problem $$ (P_λ)\quad -Δ_{p}u=λu^{p-1}+a(x)u^{q-1},\quad u\geq0\quad\mbox{ in }Ω$$ under Dirichlet or Neumann boundary conditions. Here $Ω$ is a smooth bounded doma…

math.AP2020★ 3 cited

Uniqueness and sign properties of minimizers in a quasilinear indefinite problem

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

Let $1 < q < p$ and $a \in C (Ω)$ be sign-changing, where $Ω$ is a bounded and smooth domain of $R^{N}$ . We show that the functional \[ I_{q}(u):=\int_Ω\left( \frac{1}{…

math.AP2020

Nonnegative solutions of an indefinite sublinear Robin problem II: local and global exactness results

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

We go further in the investigation of the Robin problem $(P_{α})$ : $- Δ u = a (x) u^{q}$ in $Ω$ , $u \geq 0$ in $Ω$ , $\partial_{ν} u = α u$ on $\partial Ω$ ; on a bounded domain $Ω\subset\mathbb{R}^…