In this paper we study a nonlinear elliptic boundary value problem with a general singular lower order term, whose model is {-Δu=H(u)μinΩ,u=0on∂Ω,u>0onΩ, where Ω is an open bounded subset of RN, μ is a nonnegative bounded Radon measure on Ω and H is a continuous positive function outside the origin such that lims→0+H(s)=+∞. We do not require any monotonicity property on the singular function H.
Elliptic equations with general singular lower order term and measure data / De Cave, L. M.; Oliva, F.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 128:(2015), pp. 391-411. [10.1016/j.na.2015.08.005]
Elliptic equations with general singular lower order term and measure data
Oliva F.
2015
Abstract
In this paper we study a nonlinear elliptic boundary value problem with a general singular lower order term, whose model is {-Δu=H(u)μinΩ,u=0on∂Ω,u>0onΩ, where Ω is an open bounded subset of RN, μ is a nonnegative bounded Radon measure on Ω and H is a continuous positive function outside the origin such that lims→0+H(s)=+∞. We do not require any monotonicity property on the singular function H.File in questo prodotto:
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