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Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01529-z
Abstract: In 1981, Robertson [ 16 ] pointed out that although the class of starlike functions with respect to order $$\alpha ( 0 \le \alpha
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Keywords:
closely related;
class;
respect boundary;
functions respect ... See more keywords
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Published in 2018 at "Doklady Mathematics"
DOI: 10.1134/s1064562418010210
Abstract: The Dirichlet problem for the p(x)-Laplacian with a continuous boundary function is considered, and a sufficient condition is found for the continuity of its solution at a boundary point, assuming that the exponent p(x) satisfies…
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Keywords:
point laplacian;
regularity boundary;
point;
boundary point ... See more keywords
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Published in 2019 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439519000055
Abstract: Abstract We present a Hopf boundary point lemma for the difference between two Hölder continuously differentiable functions, each weak solutions to a divergence-form quasilinear equation, under mild boundedness assumptions on the coefficients of this equation.
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Keywords:
boundary point;
type boundary;
hopf type;
point lemma ... See more keywords