An existence and approximation theorem for solutions of degenerate nonlinear elliptic equations

• Autorzy: Albo Carlos Cavalheiro
• Języki publikacji: EN

Abstrakty

EN

The main result establishes that a weak solution of degenerate nonlinear  elliptic equations can be approximated by a sequence of solutions for non-degenerate nonlinear elliptic equations.

Słowa kluczowe

EN

Degenerate nonlinear elliptic equations; weighted Sobolev spaces

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2018
• Tom: 72
• Numer: 1

Daty

wydano

2018

online

2018-06-25

Twórcy

autor

Albo Carlos Cavalheiro

Bibliografia

• Cavalheiro, A. C., An approximation theorem for solutions of degenerate elliptic equations, Proc. Edinb. Math. Soc. 45 (2002), 363-389.
• Fabes, E., Kenig, C., Serapioni, R., The local regularity of solutions of degenerate elliptic equations, Comm. Partial Differential Equations 7 (1982), 77-116.
• Fernandes, J. C., Franchi, B., Existence and properties of the Green function for a class of degenerate parabolic equations, Rev. Mat. Iberoam. 12 (1996), 491-525.
• Garcıa-Cuerva, J., Rubio de Francia, J. L., Weighted Norm Inequalities and Related Topics, North-Holland Publishing Co., Amsterdam, 1985.
• Heinonen, J., Kilpelainen, T., Martio, O., Nonlinear Potential Theory of Degenerate Elliptic Equations, Oxford University Press, Oxford, 1993.
• Kufner, A., Weighted Sobolev Spaces, John Wiley & Sons, New York, 1985.
• Muckenhoupt, B., Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
• Murthy, M. K. V., Stampacchia, G., Boundary value problems for some degenerate elliptic operators, Ann. Mat. Pura Appl. 80 (1) (1968), 1-122.
• Torchinsky, A., Real-Variable Methods in Harmonic Analysis, Academic Press, San Diego, 1986.
• Turesson, B. O., Nonlinear Potential Theory and Weighted Sobolev Spaces, Springer-Verlag, Berlin, 2000.
• Zeidler, E., Nonlinear Functional Analysis and Its Applications. Vol. II/B, Springer-Verlag, New York, 1990.

Identyfikatory

DOI

10.17951/a.2018.72.1.29-43