Papers by Darya Apushkinskaya
Automation and Remote Control
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In this chapter we concentrate only on our first main question about regularity properties of a s... more In this chapter we concentrate only on our first main question about regularity properties of a solution.
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Complex Variables and Elliptic Equations, Nov 7, 2017
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Notices of the American Mathematical Society, 2020
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In this chapter, a no-sign problem of type ( 1.1) is considered. We study the case, when the cont... more In this chapter, a no-sign problem of type ( 1.1) is considered. We study the case, when the contact points between free and fixed boundaries may exist.
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Journal of Mathematical Sciences, 2015
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Arkiv för matematik, 2001
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Applications of Mathematics, 2000
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Doklady Mathematics
A new monotonicity formula is obtained for a problem with discontinuous nonlinearities arising in... more A new monotonicity formula is obtained for a problem with discontinuous nonlinearities arising in the modeling of various processes with a memory effect.
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Journal of Mathematical Sciences, 1996
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Indiana University Mathematics Journal, 2009
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Inspired by the work of Marcellini and Papi, we consider local minima u: ℝn ⊃ Ω → ℝM of variation... more Inspired by the work of Marcellini and Papi, we consider local minima u: ℝn ⊃ Ω → ℝM of variational integrals $$ \int\limits_\Omega {h\left( {\left| {\nabla u} \right|} \right)} $$ dx and prove interior gradient bounds under rather general assumptions on h provided that u is locally bounded. Our requirements on the density h do not involve the dimension n. Bibliography: 18 titles.
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Rendiconti Lincei - Matematica e Applicazioni
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American Mathematical Society Translations: Series 2
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Chaos and Complex Systems
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Rendiconti Lincei - Matematica e Applicazioni
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The Mathematical Intelligencer
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Lecture Notes in Mathematics
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Papers by Darya Apushkinskaya