Numerical Simulation of Two-Dimensional Pucci’s Equation with Dirichlet Boundary Conditions Using Nonvariational Finite Element Method

Author:

Mishra Garima,Kumar Manoj

Funder

Council of Scientific and Industrial Research

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference16 articles.

1. Crandall, M., Ishi, H., Lions, P.L.: User’s guide to viscosity solutions of second order partial differential equations. Bull. AMS. 27(1), 1–67 (1992)

2. Cabré, X., Caffarelli, L.A.: Fully nonlinear elliptic equation, american mathematical society. Colloquium Publication, Cologne (1995)

3. Felmer, P., Quaas, A.: Positive solutions to semilinear equation involving the Pucci’s operator. J. Differ. Equ. 199(2), 376–393 (2004)

4. Quaas, A.: Existence of positive solutions to a semilinear equation involving the Pucci’s operator in a convex domain. Diff. Integral Equ. 17, 481–494 (2004)

5. Rouy, E.: First Semi-eigenvalue for nonlinear elliptic operator (preprint)

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