In this paper we study the existence and regularity of solutions to some nonlinear boundary value problems with non coercive drift. The model problem is {-div(A(x)∇u|∇u|p-2)=E(x)∇u|∇u|p-2+f(x),inΩ;u=0,on∂Ω;where p> 1 , Ω is an open bounded subset of RN, A(x) is an elliptic matrix with measurable and bounded entries,E∈(LN(Ω))N and f∈ Lm(Ω) with 1
Calderon–Zygmund–Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift
Cirmi G. R.
2020-01-01
Abstract
In this paper we study the existence and regularity of solutions to some nonlinear boundary value problems with non coercive drift. The model problem is {-div(A(x)∇u|∇u|p-2)=E(x)∇u|∇u|p-2+f(x),inΩ;u=0,on∂Ω;where p> 1 , Ω is an open bounded subset of RN, A(x) is an elliptic matrix with measurable and bounded entries,E∈(LN(Ω))N and f∈ Lm(Ω) with 1File in questo prodotto:
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