U. Kaufmann

activity

20132025

most citedStrictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian

6 citations · 20 across the 16 of their papers we have counts for

collaborators

19 papers

math.AP2025

A local and nonlocal coupling model involving the $p$ -Laplacian

Uriel Kaufmann, Raúl Vidal

In this paper we extend some results presented in \cite{julio} to the case of the $p$ -Laplacian operator. More precisely, we consider a model that couples a local $p$ -Laplacian ope…

math.CA2023

Positive solutions for concave-convex type problems for the one-dimensional $ϕ$ -Laplacian

Uriel Kaufmann, Leandro Milne

Let $Ω = (a, b) \subset R$ , $0 \leq m, n \in L^{1} (Ω)$ , $λ, μ > 0$ be real parameters, and $ϕ : R \to R$ be an odd increasing homeomorphism. In this paper we co…

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

Past and recent contributions to indefinite sublinear elliptic problems

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

We review the indefinite sublinear elliptic equation $- Δ u = a (x) u^{q}$ in a smooth bounded domain $Ω \subset R^{N}$ , with Dirichlet or Neumann homogeneous boundary conditions.…

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}^…

A local and nonlocal coupling model involving the p-Laplacian

Positive solutions for concave-convex type problems for the one-dimensional ϕ-Laplacian

Uniqueness and positivity issues in a quasilinear indefinite problem

Past and recent contributions to indefinite sublinear elliptic problems

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

A local and nonlocal coupling model involving the $p$ -Laplacian

Positive solutions for concave-convex type problems for the one-dimensional $ϕ$ -Laplacian