Results 11 to 20 of about 2,229 (304)
πΏβ-Solutions for Some Nonlinear Degenerate Elliptic Equations [PDF]
International Journal of Differential Equations, 2011 We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations ββππ=1π·π[π2(π₯)ππ(π₯,π’,βπ’)]+π1(π₯)π(π₯,π’(π₯))+π»(π₯,π’,βπ’)π2(π₯)=π(π₯),onΞ© in the setting of the weighted Sobolev spaces W01,π(Ξ©,π1,π2)
Albo Carlos Cavalheiro
doaj +2 more sources
Regularity theorems for a class of degenerate elliptic equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the regularity of a class of degenerate elliptic equations with special lower order terms. By introducing a proper distance and applying the compactness method, we establish the HΓΆlder type estimates for the weak solutions.
Qiaozhen Song, Yan Wang
doaj +2 more sources
An approach for constructing coefficients of degenerate elliptic complex equations
Electronic Journal of Differential Equations, 2013 This article deals with the inverse problem for degenerate elliptic systems of first order equations with Riemann-Hilbert type map in simply connected domains.
Guo Chun Wen
doaj +1 more source
Existence of solutions for some degenerate quasilinear elliptic equations
Le Matematiche, 2008 In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equationsΒ
Albo Carlos Cavalheiro
doaj +2 more sources
Sequential and continuum bifurcations in degenerate elliptic equations [PDF]
, 2004 We examine the bifurcations to positive and sign-changing solutions of degenerate elliptic equations. In the problems we study, which do not represent Fredholm operators, we show that there is a critical parameter value at which an infinity of ...
Beardmore, R. E., Laister, Robert
core +1 more source
An approximation theorem for solutions of degenerate semilinear elliptic equations [PDF]
, 2017 The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Albo Carlos Cavalheiro +1 more
core +1 more source
Some Zaremba-Hopf-Oleinik Boundary Comparison Principles at Characteristic Points
Bruno Pini Mathematical Analysis Seminar, 2015 We investigate the so-called Hopf lemma for certain degenerate-elliptic equations at characteristic boundary points of bounded open sets. For such equations, the validity of the Hopf lemma is related to the fact that the boundary of the open set reflects
Giulio Tralli
doaj +1 more source
On the Eikonal equation for degenerate elliptic operators [PDF]
Proceedings of the American Mathematical Society, 2011 We consider the nonnegative viscosity solution of the homogeneous Dirichlet problem for an eikonal equation associated to an operator sum of squares of vector fields of Grushin type in a symmetric domain. We show that the solution is locally Lipschitz continuous except at the characteristic boundary point.
openaire +2 more sources
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic OrnsteinβUhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
core +1 more source
Maximum principles for viscosity solutions of weakly elliptic equations
Bruno Pini Mathematical Analysis Seminar, 2019 Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj +1 more source