Feller semigroups and degenerate elliptic operators III
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800421
Abstract: This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups in the characteristic case via the Fichera function. Probabilistically, our result may be stated as follows: We construct… read more here.
Keywords: semigroups degenerate; degenerate elliptic; feller semigroups; elliptic operators ... See more keywords
Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces
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DOI: 10.1007/s43037-020-00069-8
Abstract: We deal with existence and regularity for weak solutions to Dirichlet problems of the type $$\begin{aligned} \left\{ \begin{array}{ll} - \mathrm{div} (A(x)Xu) +b(x)Xu + c(x)u=f\quad \hbox {in} \; \varOmega \\ \\ u=0 \quad \quad \hbox {on}… read more here.
Keywords: solutions degenerate; degenerate elliptic; regularity solutions; existence regularity ... See more keywords
Liouville theorems to semi-linear degenerate elliptic equation of generalized Baouendi-Grushin vector fields
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DOI: 10.1016/j.jde.2021.02.016
Abstract: Abstract In this paper we investigate a semi-linear degenerate elliptic equation Δ L u + h ( ξ ) u p + g ( ξ ) u q = 0 related to the generalized Baouendi-Grushin… read more here.
Keywords: generalized baouendi; baouendi grushin; degenerate elliptic; elliptic equation ... See more keywords
On a class of Hamiltonian strongly degenerate elliptic systems with concave and convex nonlinearities
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DOI: 10.1080/17476933.2019.1608971
Abstract: ABSTRACT In this paper, we prove the existence of positive and negative energy solutions to the following semilinear strongly degenerate elliptic system where is a function satisfying the subcritical growth with respect to the second… read more here.
Keywords: strongly degenerate; hamiltonian strongly; systems concave; degenerate elliptic ... See more keywords
Lipschitz regularity for degenerate elliptic integrals with ????, ????-growth
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DOI: 10.1515/acv-2020-0120
Abstract: Abstract We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly… read more here.
Keywords: integrals growth; lipschitz regularity; elliptic integrals; degenerate elliptic ... See more keywords
On a Regularity of Biharmonic Approximations to a Nonlinear Degenerate Elliptic PDE
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DOI: 10.2298/fil1707835n
Abstract: Under appropriate assumption on the coefficients, we prove that a sequence of biharmonic regularization to a nonlinear degenerate elliptic equation with possibly rough coefficients preserves certain regularity as the approximation parameter tends to zero. In… read more here.
Keywords: approximations nonlinear; degenerate elliptic; biharmonic approximations; nonlinear degenerate ... See more keywords
A degenerate elliptic problem from subsonic-sonic flows in convergent nozzles
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DOI: 10.3934/cpaa.2021070
Abstract: This paper concerns continuous subsonic-sonic potential flows in a two dimensional convergent nozzle, which is governed by a free boundary problem of a quasilinear degenerate elliptic equation. It is shown that for a given nozzle… read more here.
Keywords: elliptic problem; problem subsonic; subsonic sonic; degenerate elliptic ... See more keywords