Finite-dimensional approximation and coerciveness in a problem with p-Laplacian

Nonlinear Analysis, Theory, Methods and Applications

Volumn 33, Issue 3, 1998, Pages 253-259

  Jebelean, Petru ^a  

^a WEST UNIVERSITY OF TIMISOARA   (Romania)

Author keywords

Euler Lagrange functional; Finite element method; Galerkin method; p Laplacian

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; THEOREM PROVING;

DIRICHLET PROBLEM; LAPLACIAN PROBLEM;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0032137221     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00551-8     Document Type: Article

References (9)

1. Glowinski, R. and Marrocco, A., Sur l'approximation par éléments finis d'ordre un, et la résolution par penalisation-dualité, d'une classe de problémes de Dirichlet non linéaires. RAIRO Anal. Numer., 1975, 2, 41-76.
2. Chow, S.-S., Finite element estimates for non-linear elliptic equations of monotone type. Numer. Math., 1989, 54, 373-393.
3. Barret, J. W. and Liu, W. B., Finite element approximation of p-Laplacian. Math. of Computation, 1993, 61(204), 523-537
4. Mawhin, J., Ward, J. R. and Willem, M., Variational methods and semilinear elliptic equations. Sem. Math. Louvain, Rap., 1983, 32.
5. de Figueiredo, D. G. and Gossez, J. P., Un Problème elliptique semi-linéaire sans conditions de croissance. C. R. Acad. Sci. Paris, 1989, 308, 277-280.
6. Leray, J. and Lions, J -L., Quelques résultats de Višik sur les problémes non linéaires par les méthodes de Minty-Browder. Bull. Soc. Math. France, 1965, 93, 97-107.
7. Ciarlet, P. G. and Lions, J.-L., Handbook of Numerical Analysis, Finite Element Method (Part I). North-Holland, 1981.
8. de Figueiredo, D. G., Lectures on Ekeland Variational Principle with Applications and Detours. Tata Institute of Fundamental Research. Springer-Verlag, Berlin, 1989.
9. Anane, A. and Gossez, J. P., Strongly nonlinear elliptic problems near resonance: a variational approach. Comm. Partial Differential Equations, 1990, 15(8), 1141-1159.