U. Kaufmann

activity

20172020

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

3 citations · 6 across the 5 of their papers we have counts for

collaborators

7 papers

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}^…

math.AP2019

Nonnegative solutions of an indefinite sublinear Robin problem I: positivity, exact multiplicity, and existence of a subcontinuum

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

Let $Ω \subset R^{N}$ ( $N \geq 1$ ) be a smooth bounded domain, $a \in C (Ω ˉ)$ a sign-changing function, and $0 \leq q < 1$ . We investigate the Robin problem \[ \begin{cases} -Δu…

math.AP2018

The $\infty$ -eigenvalue problem with a sign-changing weight

Uriel Kaufmann, Julio D. Rossi, Joana Terra

Let $Ω \subset R^{n}$ be a smooth bounded domain and $m \in C (Ω)$ be a sign-changing weight function. For $1 < p < \infty$ , consider the eigenvalue problem $$ \left\{ \b…

math.AP2017

Positive solutions of an elliptic Neumann problem with a sublinear indefinite nonlinearity

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

Let $Ω \subset R^{N}$ ( $N \geq 1$ ) be a bounded and smooth domain and $a : Ω \to R$ be a sign-changing weight satisfying $\int_{Ω} a < 0$ . We prove the existence of a…

Uniqueness and positivity issues in a quasilinear indefinite problem

Uniqueness and sign properties of minimizers in a quasilinear indefinite problem

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

Nonnegative solutions of an indefinite sublinear Robin problem I: positivity, exact multiplicity, and existence of a subcontinuum

The ∞-eigenvalue problem with a sign-changing weight

Positive solutions of an elliptic Neumann problem with a sublinear indefinite nonlinearity

The $\infty$ -eigenvalue problem with a sign-changing weight