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Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.10.039
Abstract: Abstract In this paper we consider positive solutions to semilinear elliptic problems with singular nonlinearity. We provide a Hopf type boundary lemma via a suitable scaling argument that allows to deal with the lack of…
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Keywords:
boundary lemma;
equations boundary;
lemma singular;
semilinear elliptic ... See more keywords
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Published in 2018 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2017.1420066
Abstract: Abstract Consider uniformly elliptic equations in general form in a domain . We discuss the minimal assumptions on the boundary of which guarantee the existence or non-existence of Hopf–Oleinik estimates for solutions, provided . The…
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Keywords:
estimates second;
second order;
equations boundary;
elliptic equations ... See more keywords
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Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2019.1617800
Abstract: Abstract In this paper, governed by the fundamental solutions we introduce the Green’s function of the second-order differential equations in general form with respect to boundary conditions and deal with the solvability of the infinite…
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Keywords:
second order;
solvability infinite;
boundary conditions;
equations boundary ... See more keywords