This paper deals with boundary value problems of the form −∑i=1nDi(ai(x,u(x),Du(x)))=f(x),x∈Ω,u(x)=0,x∈∂Ω. Assume that there exist c1,ν,θ>0 such that for almost all x∈Ω and all (s,z)∈R×Rn, |ai(x,s,z)|≤c11+|zi|pjavax.xml.bind.JAXBElement@6841a49a−1,i=1,…,n, and [Formula presented] We let f∈Lm(Ω) and we derive regularity results for weak solutions.

Regularity for anisotropic elliptic equations with degenerate coercivity

Gao H.;Leonetti F.;
2019-01-01

Abstract

This paper deals with boundary value problems of the form −∑i=1nDi(ai(x,u(x),Du(x)))=f(x),x∈Ω,u(x)=0,x∈∂Ω. Assume that there exist c1,ν,θ>0 such that for almost all x∈Ω and all (s,z)∈R×Rn, |ai(x,s,z)|≤c11+|zi|pjavax.xml.bind.JAXBElement@6841a49a−1,i=1,…,n, and [Formula presented] We let f∈Lm(Ω) and we derive regularity results for weak solutions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/136006
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