Research Interests and Publications.

My main research interest focuses on Partial Differential Equations. I am particularly interested in the  study of qualitative properties of solutions to second order (linear and non-linear) elliptic partial differential equations.

 

Recent Publications

  1. A. Mohammed, Harnack's principle for some non-divergence structure elliptic operators, Comm. Partial Diff. Equations, 23(1998),287-306

  2. A. Mohammed, Holder continuity of solutions of some degenerate elliptic differential equations, Bull. Aust.Math.Soc. 62(2000),369-377

  3. A. Mohammed, G. Porru, Boundary behavior and integrability of large solutions to p-Laplace equations, Mat.Contemp. 19(2000),31-40

  4. A. Mohammed, Uniform integrability of approximate Green functions of some degenerate elliptic operators, Pacific J. Math. 199(2),(2001),467-492

  5. A. Mohammed, Weak Harnack's inequality for non-negative solutions of elliptic equations with potential, Proc. Amer. Math. Soc. 129(2001),2617-2621

  6. A. Mohammed, G. Porcu, G. Porru, Large solutions of some nonlinear equations with weights, Nonlinear Anal. 47(1),(2001)513-524

  7. A. Mohammed, Harnack's inequality for solutions of some degenerate elliptic equations, Revista Mat. Iberoamericana,  18(2),(2002)325-354

  8. A. Mohammed, F. Belgacem, Nonexistence of entire solutions to some nonlinear elliptic equations, preprint

  9. A. Mohammed, Boundary behavior of blow-up solutions to some weighted non-linear differential equations, Electron. J. Diff. Eqns., Vol. 2002(2002), No. 78, pp. 1-15.

  10. A. Mohammed, Existence of Blow-up solutions to weighted quasilinear equations, preprint