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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1382690
Abstract: ABSTRACT We study the global regularity of solutions of the homogeneous Dirichlet problem for the parabolic equation with variable nonlinearity where p(x, t), are given functions of their arguments, and . Conditions on the data…
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Keywords:
higher regularity;
variable nonlinearity;
regularity solutions;
solutions singular ... See more keywords
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Published in 2024 at "Nonlinearity"
DOI: 10.1088/1361-6544/ad4503
Abstract: In the paper, we study the global higher regularity and decay estimates of the positive solutions for the following fractional equations {(−Δ)su+u=|u|p−2uin RN,lim|x|→∞u(x)=0,u∈Hs(RN),(0.1) where s∈(0,1) , N>2s , 2
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Keywords:
global higher;
higher regularity;
regularity decay;
decay estimates ... See more keywords