A biharmonic elliptic problem with dependence on the gradient and the Laplacian.
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Carrião, Paulo C., Faria, Luiz F.O., Miyagaki, Olímpio H. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Bhattacharya, Tilak (2007)
Boundary Value Problems [electronic only]
Friedmar Schulz (1984)
Journal für die reine und angewandte Mathematik
Giovanna Citti (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We prove a strong comparison principle for the solution of the Levi equation , applying Bony Propagation Principle.
Annibale Magni (2015)
Geometric Flows
We study the gradient flow of the L2−norm of the second fundamental form for smooth immersions of two-dimensional surfaces into compact Riemannian manifolds. By analogy with the results obtained in [10] and [11] for the Willmore flow, we prove lifespan estimates in terms of the L2−concentration of the second fundamental form of the initial data and we show the existence of blowup limits. Under special condition both on the initial data and on the target manifold, we prove a long time existence result...
Giuliano Bratti (1977)
Rendiconti del Seminario Matematico della Università di Padova
Qun Lin, Shu Hua Zhang (1997)
Applications of Mathematics
In this paper we study the finite element approximations to the Sobolev and viscoelasticity type equations and present a direct analysis for global superconvergence for these problems, without using Ritz projection or its modified forms.
Stefan Ebenfeld (2003)
Banach Center Publications
Kawagishi, Masaki (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Sönke Blunck (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Hörmander’s famous Fourier multiplier theorem ensures the -boundedness of whenever for some , where we denote by the set of functions satisfying the Hörmander condition for derivatives. Spectral multiplier theorems are extensions of this result to more general operators and yield the -boundedness of provided for some sufficiently large. The harmonic oscillator shows that in general is not sufficient even if has a heat kernel satisfying gaussian estimates. In this paper,...
Naděžda Krylová, Otto Vejvoda (1971)
Czechoslovak Mathematical Journal
Pierre-Louis Lions, Jindřich Nečas, Ivan Netuka (1982)
Commentationes Mathematicae Universitatis Carolinae
Mesloub, Said, Mansour, Abdelouahab (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
M.S. Baouendi, S. Alinhac (1995)
Mathematische Zeitschrift
Alfredo Bermudez, Carmen Rodriguez (1986/1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
M. Struwe, A. Ambrosetti (1986)
Manuscripta mathematica
Jaroslav Hančl (1988)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Jaroslav Hančl (1988)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Alan E. Berger, Haim Brezis, Joël C. W. Rogers (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Rüdiger Braun (1993)
Studia Mathematica
It is shown that the partial differential operator is surjective if 1 ≤ d < 2 or d ≥ 6 and not surjective for 2 ≤ d < 6.
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