Relevant bibliographies by topics / Pucci operator

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  2. Dissertations / Theses

Academic literature on the topic 'Pucci operator'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Pucci operator"

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JUNGES MIOTTO, T. "THE ALEKSANDROV–BAKELMAN–PUCCI ESTIMATES FOR SINGULAR FULLY NONLINEAR OPERATORS." Communications in Contemporary Mathematics 12, no. 04 (2010): 607–27. http://dx.doi.org/10.1142/s0219199710003956.

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The main scope of this paper is to obtain Aleksandrov–Bakelman–Pucci estimates (ABP estimates) for viscosity solutions of singular fully nonlinear operator, which includes the p-Laplacian operator, p > 1.
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2

Esteban, Maria J., Patricio L. Felmer, and Alexander Quaas. "Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data." Proceedings of the Edinburgh Mathematical Society 53, no. 1 (2010): 125–41. http://dx.doi.org/10.1017/s0013091507001393.

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AbstractWe deal with existence and uniqueness of the solution to the fully nonlinear equation−F(D2u) + |u|s−1u = f(x) in ℝn,where s > 1 and f satisfies only local integrability conditions. This result is well known when, instead of the fully nonlinear elliptic operator F, the Laplacian or a divergence-form operator is considered. Our existence results use the Alexandroff-Bakelman-Pucci inequality since we cannot use any variational formulation. For radially symmetric f, and in the particular case where F is a maximal Pucci operator, we can prove our results under fewer integrability assumpt
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3

Autuori, Giuseppina, Francesca Colasuonno, and Patrizia Pucci. "On the existence of stationary solutions for higher-order p-Kirchhoff problems." Communications in Contemporary Mathematics 16, no. 05 (2014): 1450002. http://dx.doi.org/10.1142/s0219199714500023.

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In this paper, we establish the existence of two nontrivial weak solutions of possibly degenerate nonlinear eigenvalue problems involving the p-polyharmonic Kirchhoff operator in bounded domains. The p-polyharmonic operators [Formula: see text] were recently introduced in [F. Colasuonno and P. Pucci, Multiplicity of solutions for p(x)-polyharmonic elliptic Kirchhoff equations, Nonlinear Anal.74 (2011) 5962–5974] for all orders L and independently, in the same volume of the journal, in [V. F. Lubyshev, Multiple solutions of an even-order nonlinear problem with convex-concave nonlinearity, Nonli
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Yang, Jianfu, and Xiaohui Yu. "Existence of an elliptic system involving Pucci operator." Applied Mathematics Letters 21, no. 6 (2008): 571–77. http://dx.doi.org/10.1016/j.aml.2007.06.009.

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Bao, Jiguang. "Fully Nonlinear Elliptic Equations on General Domains." Canadian Journal of Mathematics 54, no. 6 (2002): 1121–41. http://dx.doi.org/10.4153/cjm-2002-042-9.

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AbstractBy means of the Pucci operator, we construct a function u0, which plays an essential role in our considerations, and give the existence and regularity theorems for the bounded viscosity solutions of the generalized Dirichlet problems of second order fully nonlinear elliptic equations on the general bounded domains, which may be irregular. The approximation method, the accretive operator technique and the Caffarelli's perturbation theory are used.
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Jianfu, Yang, and Yu Xiaohui. "Existence of a cooperative elliptic system involving pucci operator." Acta Mathematica Scientia 30, no. 1 (2010): 137–47. http://dx.doi.org/10.1016/s0252-9602(10)60030-6.

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Quaas, Alexander, and Boyan Sirakov. "Existence Results for Nonproper Elliptic Equations Involving the Pucci Operator." Communications in Partial Differential Equations 31, no. 7 (2006): 987–1003. http://dx.doi.org/10.1080/03605300500394421.

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8

Wang, Tingting, and Lizhou Wang. "A new Aleksandrov–Bakelman–Pucci maximum principle for -Laplacian operator." Nonlinear Analysis: Theory, Methods & Applications 77 (January 2013): 171–79. http://dx.doi.org/10.1016/j.na.2012.09.014.

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9

Liu, Yong. "Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator." Advances in Pure Mathematics 02, no. 06 (2012): 408–12. http://dx.doi.org/10.4236/apm.2012.26061.

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Wang, Bo. "Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group." Nonlinear Analysis 160 (September 2017): 177–90. http://dx.doi.org/10.1016/j.na.2017.05.011.

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Dissertations / Theses on the topic "Pucci operator"

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Soares, Quitalo Veronica Rita Antunes de. "Regularity of a segregation problem with an optimal control operator." 2013. http://hdl.handle.net/2152/21210.

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It is the main goal of this thesis to study the regularity of solutions for a nonlinear elliptic system coming from population segregation, and the free boundary problem that is obtained in the limit as the competition parameter goes to infinity [mathematical symbol]. The main results are existence and Hölder regularity of solutions of the elliptic system, characterization of the limit as a free boundary problem, and Lipschitz regularity at the boundary for the limiting problem.<br>text
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