Tootfinder

Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and $L^1$ terms
In this paper we deal with the following boundary value problem \begin{equation*} \begin{cases} -Δ_{p}u + g(u) | \nabla u|^{p} = h(u)f & \text{in $Ω$,} \newline u\geq 0 & \text{in $Ω$,} \newline u=0 & \text{on $\partial Ω$,} \ \end{cases} \end{equation*} in a domain $Ω\subset \mathbb{R}^{N}$ $(N \geq 2)$, where $1\leq p

Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and $L^1$ terms
In this paper we deal with the following boundary value problem \begin{equation*} \begin{cases} -Δ_{p}u + g(u) | \nabla u|^{p} = h(u)f & \text{in $Ω$,} \newline u\geq 0 & \text{in $Ω$,} \newline u=0 & \text{on $\partial Ω$,} \ \end{cases} \end{equation*} in a domain $Ω\subset \mathbb{R}^{N}$ $(N \geq 2)$, where $1\leq p