References
- Carl , S . 1989 . An enclosing theorem and a monotone iterative scheme for elliptic systems having nonmonotone nonlinearities . Z. Angew. Math. Mech. , 69 : 153 – 159 .
- Carl , S and Grossmann , C . 1990 . Monotone enclosure for elliptic and parabolic systems with nonmonotone nonlinearities . J. Math. Anal. Appl. , 151 : 190 – 202 .
- Khavanin , M and Lakshmikantham , V . 1986 . The method of mixed monotony and second order boundary value problems . J. Math. Anal. Appl. , 120 : 737 – 744 .
- Carl , S and Jerome , JW . 2002 . Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type . Nonlinear Anal. , 51 : 843 – 863 .
- Jerome , JW . 2001 . A trapping principle for discontinuous elliptic systems of mixed monotone type . J. Math. Anal. Appl. , 262 : 700 – 721 .
- Carl , S and Le , VK . 2004 . Enclosure results for quasilinear systems of variational inequalities . J. Differ. Eqns. , 199 : 77 – 95 .
- Carl , S , Le , VK and Motreanu , D . 2007 . Nonsmooth Variational Problems and Their Inequalities. Comparison Principles and Applications, Springer Monographs Mathematics , New York : Springer .
- Lieberman , GM . 1988 . Boundary regularity for solutions of degenerate elliptic equations . Nonlinear Anal. , 12 : 1203 – 1219 .
- Vázquez , J . 1984 . A strong maximum principle for some quasilinear elliptic equations . Appl. Math. Optim. , 12 ( 3 ) : 191 – 202 .
- Anane , A . 1987 . Etude des valeurs propres et de la résonnance pour l'opérateur p-Laplacien . C. R. Acad. Sci. Paris Sér. I Math. , 305 ( 16 ) : 725 – 728 .
- Carl , S and Motreanu , D . 2008 . Constant-sign and sign-changing solutions for nonlinear eigenvalue problems . Nonlinear Anal , 68 : 2668 – 2676 .
- Carl , S . 2010 . Combined variational and sub-supersolution approach for multi-valued elliptic variational inequalities . Stud. Univ. Babes-Bolyai Math. , 55 ( 4 ) : 53 – 71 .
- Szulkin , A . 1986 . Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems . Ann. Inst. Henri Poincaré. Anal. Non Linéaire , 3 : 77 – 109 .
- Zeidler , E . 1985 . Nonlinear Functional Analysis and Its Applications , Vol. III , New York : Springer-Verlag .
- Adams , DJ and Nussenzveig Lopes , HJ . 1995 . Weakly elliptic systems of variational inequalities: A 2 × 2 model problem with obstacles in both components . Ann. Mat. Pura Appl. , 169 : 183 – 201 .
- Adams , DJ and Lopes , HJN . 1997 . Nonlinear weakly elliptic 2 × 2 systems of variational inequalities with unilateral obstacle constraints . Electron. J. Differ. Eqns. , 18 : 20
- Adams , DJ . 2000 . Weakly elliptic systems with obstacle constraints III. Complex eigenvalues and singular systems . J. Funct. Anal. , 178 : 258 – 268 .
- Biroli , M . 1983 . H 2,p -regularity for the solution of systems of elliptic variational inequalities . Riv. Mat. Univ. Parma , 8 : 539 – 547 .