Titlebook: Contemporary Research in Elliptic PDEs and Related Topics; Serena Dipierro Book 2019 Springer Nature Switzerland AG 2019 Partial different

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書目名稱Contemporary Research in Elliptic PDEs and Related Topics讀者反饋




書目名稱Contemporary Research in Elliptic PDEs and Related Topics讀者反饋學(xué)科排名

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2281-518X D students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research..978-3-030-18923-5978-3-030-18921-1Series ISSN 2281-518X Series E-ISSN 2281-5198

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,Dirichlet Problems for Fully Nonlinear Equations with “Subquadratic” Hamiltonians,, and having first order terms with power growth, we prove the existence and uniqueness of suitably defined viscosity solutions of Dirichlet problems and we further show that it is a Lipschitz continuous function.

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Singularities in the Calculus of Variations,st treat the theory of linear elliptic systems and give some consequences. Then we discuss important singular solutions of De Giorgi, Giusti-Miranda, and Maz’ya to linear elliptic systems, and of Sverak-Yan in the nonlinear case. At the end we discuss the parabolic theory.

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Dina Neiger,Leonid Churilov,Andrew FlitmanWe present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.

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