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Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.08.021
Abstract: Abstract In this paper we obtain the following local Lorentz estimates B ( | F | ) ∈ L l o c γ , q ⇒ B ( | ∇ u | ) ∈ L…
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Keywords:
class nonlinear;
lorentz estimates;
estimates class;
nonlinear parabolic ... See more keywords
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1
Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.08.039
Abstract: Abstract Let n ∈ { 2 , 3 , 4 , … } , N ∈ { 1 , 2 , 3 , … } and p ∈ ( 1 , 2 − 1 n…
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Keywords:
system;
weighted gradient;
laplace system;
gradient estimates ... See more keywords
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Published in 2019 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446619020095
Abstract: We establish the criteria of validity of some integral weighted inequalities for a class of quasilinear integral operators.
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Keywords:
integral operators;
estimates class;
weighted estimates;
quasilinear integral ... See more keywords
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Published in 2024 at "Boundary Value Problems"
DOI: 10.1186/s13661-024-01845-3
Abstract: We obtain the gradient estimates of the positive solutions to a nonlinear elliptic equation on an n -dimensional complete Riemannian manifold ( M , g ) $(M, g)$ Δ u + a u ( ln…
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Keywords:
logarithmic terms;
estimates class;
elliptic equations;
gradient estimates ... See more keywords