In this paper we deal with singular boundary value problems of the type −div(a(x,u)∇u)+b(x)|∇u|2|u|θ sign (u)=f(x),u=0, in Ω, (0.1) on ∂Ω, where Ω is a open bounded set of RN with N>2 , a(x, t) is a Carathéodory function with polynomial growth with respect to t, b(x) is bounded and measurable, θ∈(0,1) and f(x) belongs to L1(Ω) . The main concern is to consider sign-changing solutions outside the energy space W1,20(Ω) .
|Titolo:||Sign-changing solutions for elliptic problems with singular gradient terms and L1 data|
Buccheri, Stefano (Corresponding author)
|Data di pubblicazione:||2018|
|Appartiene alla tipologia:||01a Articolo in rivista|