PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Properties of solutions to some weighted ρLlaplacian equation

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by [formula] on smooth domain and for varying nonlinearity ∫.
Rocznik
Strony
483--494
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
  • Aalto University Department of Mathematics and System Analysis Espoo-02150, Finland
Bibliografia
  • [1] W. Allegretto, Y.X. Huang, A Picone's identity for the p-Laplacian and applications, Nonlinear Anal. 32 (1998) 7, 819-830.
  • [2] K. Bal, Generalized Picone's identity and its applications, Electron. J. Differential Equations 2013 (2013) 243, 1-6.
  • [3] K. Bal, Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group, Electron. J. Differential Equations 2016 (2016) 130, 1-7.
  • [4] K. Bal, P. Garain, I. Mandal, Some qualitative properties of Finsler p-Laplacian, Indag. Math. (N.S.) 28 (2017) 6, 1258-1264.
  • [5] M. Belloni, B. Kawohl, A direct uniqueness proof for equations involving the p-Laplace operator, Manuscripta Math. 109 (2002) 2, 229-231.
  • [6] S. Chanillo, R.L. Wheeden, Weighted Poincare and Sobolev inequalities and estimates for weighted Peano maximal functions, Amer. J. Math. 107 (1985) 5, 1191-1226.
  • [7] V. De Cicco, M.A. Vivaldi, Weighted Poincare and Sobolev inequalities and estimates for weighted Peano maximal functions, Adv. Math. Sci. Appl. 9 (1999) 1, 183-207.
  • [8] P. Drabek, A. Kufner, F. Nicolosi, Quasilinear elliptic equations with degenerations and singularities, De Gruyter Series in Nonlinear Analysis and Applications, vol. 5, Walter de Gruyter & Co., Berlin, 1997.
  • [9] G. Dwivedi, J. Tyagi, Some qualitative questions on the equation — div(a(x,u, Vu)) = f{x,u), J. Math. Anal. Appl. 446 (2017) 1, 456-469.
  • [10] E.B. Fabes, C.E. Kenig, R.P. Serapioni, The local regularity of solutions of degenerated elliptic equations, Commun. Partial Diff. Eq. 7 (1982) 1, 77-116.
  • [11] J. Heinonen, T. Kilpelainen, O. Martio, Nonlinear Potential Theory of Degenerate Elliptic Equations, Oxford Mathematical Monographs, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1993.
  • [12] J. Jaros, Picone's identity for the p-biharmonic operator with applications, Electron. J. Differential Equations 2011 (2011) 122, 1-6.
  • [13] J. Jaros, Generalized Picone identity and comparison of half-linear differential equations of order Am, Mem. Differ. Equ. Math. Phys. 57 (2012) 41-50.
  • [14] J. Jaros, Picone's identity for a system, of first-order nonlinear partial differential equations, Electron. J. Differential Equations 2013 (2013) 143, 1-7.
  • [15] J. Jaros, Picone's identity for a Finsler p-Laplacian and comparison of nonlinear elliptic equations, Math. Bohem. 139 (2014) 3, 535-552.
  • [16] J. Jaros, A-harmonic Picone's identity with applications, Ann. Mat. Pura Appl. (4) 194 (2015) 3, 719-729.
  • 17] J. Jaros, Caccioppoli estimates through an anisotropic Picone's identity, Proc. Amer. Math. Soc. 143 (2015) 3, 1137-1144.
  • [18] J. Jaros, K. Takaśi, N. Yoshida, Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications, J. Inequal. Appl. (2006), 1-17.
  • [19] B. Kawohl, M. Lucia, S. Prashanth, Simplicity of the principal eigenvalue for indefinite quasilinear problems, Adv. Differential Equations 12 (2007), 407-434.
  • [20] J. Tyagi, A nonlinear Picone's identity and its applications, Appl. Math. Lett. 26 (2013) 6, 624-626.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9e0817b7-4882-4a65-9c8c-327acc670e96
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.