Year: 2025
Type: article
Abstract: This article aims to investigate the existence of bounded positive solutions of problem $$ (P)\qquad \left\{ \begin{array}{ll} - \textrm{div} (a(x,u,\nabla u)) + A_t(x,u,\nabla u) = g(x,u) & \hbox {in }\Omega ,\\ u\ = \ 0 & \hbox {on }\partial \Omega , \end{array} \right. $$ ( P ) - div ( a ( x , u , ∇ u ) ) + A t ( x , u , ∇ u ) = g ( x , u ) in Ω , u = 0 on ∂ Ω , with $$A_t(x,t,\xi ) = \frac{\partial A}{\partial t}(x,t,\xi )$$ A t ( x , t , ξ ) = ∂ A ∂ t ( x , t , ξ ) , $$a(x,t,\xi ) = \nabla _\xi A(x,t,\xi )$$ a ( x , t , ξ ) = ∇ ξ A ( x , t , ξ ) for a given $$A(x,t,\xi )$$ A ( x , t , ξ )
Authors: A. M. Candela, G. Palmieri, A. Salvatore
Institution: University of Bari Aldo Moro
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Award: G3018043380
OpenAlex ID: W4416203629