Minimal Lp-solutions to singular sublinear elliptic problems

We solve the existence problem for the minimal positive solutions u∈Lp(Ω,dx) to the Dirichlet problems for sublinear elliptic equations of the form Lu=σuq+μinΩ,lim infx→yu(x)=0y∈∂∞Ω,where 0<q<1 and Lu≔−div(A(x)∇u) is a linear uniformly elliptic operator with bounded measurable coefficients. Th...

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Bibliographische Detailangaben
Hauptverfasser: Aye Chan May, Adisak Seesanea
Format: Artikel
Sprache:English
Veröffentlicht: Elsevier 2024-02-01
Schriftenreihe:Results in Applied Mathematics
Schlagworte:
Online Zugang:http://www.sciencedirect.com/science/article/pii/S2590037423000675