Existence of weak and renormalized solutions of degenerated elliptic equation
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DOI: 10.1007/s13370-019-00682-3
Abstract: We consider the degenerate nonlinear elliptic equation (E) : $${\mathcal {A}}(u)= g-{\text {div}}(f)$$A(u)=g-div(f), where $${\mathcal {A}}(u)=-{\text {div}}(a(x,u,\nabla u))$$A(u)=-div(a(x,u,∇u)) is a Leray-Lions operator defined on $$W_0^{1,p(\cdot )}(\Omega )$$W01,p(·)(Ω) allowed to be non linear degenerated. The main… read more here.
Keywords: elliptic equation; weak renormalized; existence weak; cdot ... See more keywords