Gradient bounds for weakly coupled nonlinear elliptic systems

References

• Payne , L. E. 1976 . Some remarks on maximum principles . J. Analyse Math , 30 : 421 – 433 .
   Web of Science ®Google Scholar
• Payne , L.E. and Stakgold , I. 1973 . On the mean value of the fundamental mode in the fixed membrane problem . Applicable Analysis , 3 : 295 – 303 .
   Google Scholar
• Payne , L.E. , Sperb , R. and Stakgold , I. 1977 . On Hopf type maximum principles for convex domains . Nonlinear Anal , 1 : 547 – 559 .
   Google Scholar
• Protter , M.H. 1980 . The Maximum Principle and Eigenvalue Problems,Proc. Conf. on Partial Differential Equations , Beijing : PRC .
   Google Scholar
• Protter , M.H. 1982 . Gradient bounds for a class of second order elliptic equations . Contemporary Mathematics , 11 : 191 – 198 .
   Google Scholar
• Protter , M.H. and Weinberger , H.F. 1973 . A maximum principle and gradient bounds for linear elliptic equations . Ind. Univ. Math. J , 23 : 239 – 249 .
   Google Scholar
• Sperb , R. 1979 . Maximum principles and nonlinear elliptic problems . J. Analyse Math , 35 : 236 – 263 .
   Google Scholar
• Sperb , R. 1981 . Maximum Principles and Their Applications , New York : Academic Press .
   Google Scholar