Sublinear elliptic systems with discontinuous nonlinearities

References

• Fitzhugh , R. 1961 . Impulses and Physiological states in theoretical models of nerve membrane . Biophysical J.1 , : 455 – 466 .
   Google Scholar
• Hastings , S.P . 1975 . Some mathematical problems form neurobiology . Amer.Math.Monthly , 82 : 881 – 895 .
   Web of Science ®Google Scholar
• Klaasen , G. and Troy , W. 1984 . Standing wave solutions of a system of reaction-diffusion equations derived from the FitzHugh-Nagumo equations . S1AM J App. Math , 44 : 96 – 110 .
   Google Scholar
• Klaascn , G. and Mitidicri , E. 1988 . Standing wave solutions for a system derived from the FitzHugh-Nagumo equations for nerve conduction . SIAM J. Math. Anal , 17 : 74 – 83 .
   Google Scholar
• de Figueircdo , D. G. and Mitidicri , E. 1986 . A maximum principle for an elliptic system and applications to semilinear problems . SIAM J. Math. Anal , 17 : 836 – 849 .
   Google Scholar
• Corrca , F.J.S.A. 1990 . A theorem of the Krein-Rutman type for an integro-differential operator . Diff. and Integral Equations , 3 : 295 – 303 .
   Google Scholar
• Stuart , C. A. 1980 . A variational method for boundary value problems with discontinuous nonlinearities . J. London Math. Soc , 21 : 319 – 328 .
   Web of Science ®Google Scholar
• Massabó , I. 1978 . Positive eigenvalues for elliptic equations with discontinuous non-linearity. Boll . U.M.I. , 15-B : 814 – 827 .
   Google Scholar
• Cerami . 1983 . Metodi variazionali nello studio di problemi al contorno con parte nonlincare discontinua . Ren. Circolo Mat. Palermo , XXXII : 336 – 357 .
   Google Scholar
• Chang , K. C. 1981 . Variational methods for nondifferentiable functionals and their applications to Partial Differential Equations . J. Math. Anal. App. , 80 : 102 – 129 .
   Web of Science ®Google Scholar
• Chang , K. C. 1980 . The obstacle problem and Partial Differential Equations with discontinuous nonlinearities . Comm. Pure App. Math , XXXIII : 117 – 146 .
   Google Scholar
• A. Ambrosctti and M. Badiale, The dual variational principle and elliptic problems with discontinuous nonlinearities.(Preprint).
   Google Scholar
• Ambrosctti , A. and Turner , R. 1988 . Some discontinuous variational problems . Diff. and Integral Equations , 1 341 – 349 .
   Google Scholar
• Costa , D. G. and Goncalves , J. V. A. 1990 . Critical point theory for nondifferentiable functionals and applications . J. Math. Analysis App. , 153 470 – 485 .
   Google Scholar
• Terman , D. and Rinzel , J. 1982 . Propagation phenomena in a bistable reaction-diffusion system . SIAM J. App. Math. , 42 1111 – 1137 .
   Google Scholar
• Mawhin , J. , Willcm , M. and Ward , J. 1986 . Variational methods and semilinear elliptic equations . Arch. Rat. Mech. Anal. , 95 269 – 277 .
   Google Scholar
• Concalves , J.V.A. 1990 . On nonresonant sublinear elliptic problems . Nonlinear Analysis-TMA , 15 915 – 920 .
   Google Scholar
• Brczis , H. and Oswald , L. 1986 . Remarks on sublinear elliptic equations . Nonlinear Analysis - TMA , 10 55 – 64 .
   Web of Science ®Google Scholar
• Bony , J. M. 1967 . “ Principe de Maximum dans les spaces de Sobolev ” . In C.R.A.S Vol. 265 , Paris
   Google Scholar
• Kindcrlchrer , D. and Stampacchia , G. “ An Introduction to Variational Inequalities and their Applications ” . Academic Press .
   Google Scholar
• G. Mancini and E. Mitidicri, Positive solutions of some coercivc-anti coercive elliptic systems.
   Google Scholar