Juan Carlos Ortiz Chata

collaborators

2 papers

math.AP2024

Existence, non-existence and degeneracy of limit solutions to $p$ -Laplace problems involving Hardy potentials as $p \to 1^{+}$ . The case of a critical drift

Juan Carlos Ortiz Chata, Francesco Petitta

In this paper we analyze the asymptotic behaviour as $p \to 1^{+}$ of solutions $u_{p}$ to $$ \left\{ \begin{array}{rclr} -Δ_pu&=&λ|\nabla u|^{p-2}\nabla u\cdot\frac{x}{|x|^2}+ f&\quad…

math.AP2024

Existence, non-existence and degeneracy of limit solutions to $p -$ Laplace problems involving Hardy potentials as $p \to 1^{+}$

Juan Carlos Ortiz Chata, Francesco Petitta

In this paper we analyze the asymptotic behaviour as $p \to 1^{+}$ of solutions $u_{p}$ to $$ \left\{ \begin{array}{rclr} -Δ_p u_p&=&\fracλ{|x|^p}|u_p|^{p-2}u_p+f&\quad \mbox{ in } Ω,\\…

Existence, non-existence and degeneracy of limit solutions to p-Laplace problems involving Hardy potentials as p→1+. The case of a critical drift

Existence, non-existence and degeneracy of limit solutions to p−Laplace problems involving Hardy potentials as p→1+

Existence, non-existence and degeneracy of limit solutions to $p$ -Laplace problems involving Hardy potentials as $p \to 1^{+}$ . The case of a critical drift

Existence, non-existence and degeneracy of limit solutions to $p -$ Laplace problems involving Hardy potentials as $p \to 1^{+}$