- Garofalo , N. and Lewis , J.L. 1989 . A symmetry result related to some overdetermined boundary value problems . Am. J. Math. , 111 : 9 – 33 .
- Gilbarg , D. and Trudinger , N.S. 1977 . “ Elliptic partial differential equations of second order ” . Berlin, Heidelberg, New York : Springer Verlag .
- Kawohl , B. 1990 . On a family o f torsional creep problems . J. reine angew. Math. , 410 : 1 – 22 .
- Payne , L.E. 1985 . Best possible maximum principles . Math. Models and Methods in Mechanics, Banach Center Pubbl , 15 : 609 – 619 .
- Payne , L.E. and Philippin , G.A. 1977 . Some applications of the maximum principle in the problem of torsional creep . SIAM J . Appl. Math. , 33 : 446 – 455 .
- Payne , L.E. and Philippin , G.A. 1979 . Some maximum principles f o r nonlinear elliptic equations inivergence form with applications to capillary surfaces and to surfaces of constant mean curvature . J. Nonlinear Anal., , 3 : 193 – 211 .
- Payne , L.E. and Philippin , G.A. 1980 . On maximum principles for a class of nonlinear second order elliptic equations, . J. Diff. Eq. , 37 : 39 – 48 .
- Philippin , G.A. 1990 . On a free boundary problem in electrostatics . Math. Methods in Appl. Sciences , 12 : 387 – 392 .
- Philippin , G.A. and Payne , L.E. 1989 . “ On the conformal capacity problem, ” . In Symposia Math. , Vol. 30 , 119 – 136 . Academic Press .
- Porru , G. and Ragnedda , F. 1990 . Convexity properties for solutions of some second order elliptic semilinear equations . Applicable Analysis , 37 : 1 – 18 .
- Protter , M.H. and Weinberger , H.F. 1984 . “ Maximum principles in differential equations ” . Berlin, Heidelberg, New York : Springer-Verlag .
- Serrin , J. 1971 . A symmetry problem in potential theory . Arch. Rat. Mech. Anal. , 43 : 304 – 318 .
- Weinberger , H.F. 1971 . Remark on the preceding paper of Serrin . Arch. Rat. Mech. Anal. , 43 : 319 – 320 .
Maximum principles for a class of nonlinear second order elliptic differential equations
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