Abstract
This paper deals with the existence and regularity of some unilateral problem associated to a nonlinear equation of type
Funding source: King Khalid University
Award Identifier / Grant number: G.R.P-213-39
Funding statement: The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through General Research Project under grant number (G.R.P-213-39).
References
[1] R. A. Adams, Sobolev Saces, Pure Appl. Math. 65, Academic Press, New York, 1975. Search in Google Scholar
[2] C. Bennett and R. Sharpley, Interpolation of Operators, Pure Appl. Math. 129, Academic Press, Boston, 1988. Search in Google Scholar
[3]
L. Boccardo and T. Gallouet,
[4] T. Del Vecchio, Nonlinear elliptic equations with measure data, Potential Anal. 4 (1995), no. 2, 185–203. 10.1007/BF01275590Search in Google Scholar
[5] T. Del Vecchio and M. R. Posteraro, An existence result for nonlinear and noncoercive problems, Nonlinear Anal. 31 (1998), no. 1–2, 191–206. 10.1016/S0362-546X(96)00304-5Search in Google Scholar
[6] M. Kbiri Alaoui, D. Meskine and A. Souissi, On the limiting regularity result of some nonlinear elliptic equations, Z. Anal. Anwend. 26 (2007), no. 4, 459–466. 10.4171/ZAA/1335Search in Google Scholar
[7] M. A. Krasnosel’skiĭ and J. B. Rutickiĭ, Convex Functions and Orlicz Spaces, P. Noordhoff, Groningen, 1961. Search in Google Scholar
[8] J.-L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. Search in Google Scholar
[9] A. Porretta, Some remarks on the regularity of solutions for a class of elliptic equations with measure data, Houston J. Math. 26 (2000), no. 1, 183–213. Search in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston
