A nonlinear dirichlet problem with nonhomogeneous boundary data

References

• Amarin , H. and Hess , P. 1979 . A multiplicity result for a class of elliptic boundary value problems . Proc. Roy. Soc. Edinburgh , 84 : 145 – 151 .
   Google Scholar
• Ambrosett , A. and Prodi , G. 1972 . On the inversion of some difFerentiable mappings with singularities between banach spaces . Annali di Mat. Pura Appl , 93 : 231 – 246 .
   Google Scholar
• Berger , M. S. and Podolak , E. 1975 . On the solutions of a nonlinear Dirichlet problem . Indiana Univ. Math. Jour , 24 : 837 – 846 .
   Web of Science ®Google Scholar
• Fucik , S. 1976 . Boundary value problems with jumping nonlinearities . Casopis Pest. Mat , 101 : 69 – 87 .
   Google Scholar
• Gilbarg , D. and Trudinger , T.S. 1977 . Elliptic Partial Differential Equations of Second Order. , Berlin : Springer-Verlag .
   Google Scholar
• Harris , G. A. 1977 . The influence of boundary data on the number of solutions of boundary value problems with jumping nonlinearities . Trans. Amer. Math. Soc.y ,
   Google Scholar
• Hart , D. C. , Lazer , A.C. and McKenna , P.J. 1985 . Multiple solutions of two point boundary value problems with jumping nonlinearities . J. Diff. Eqns , 59 : 266 – 281 .
   Google Scholar
• Lazer , A. and McKenna , P. 1985 . New multiplicity results for a class of semilinear elliptic and parabolic boundary value problems . J. Math. Anal. Appi , 107 : 371 – 395 .
   Web of Science ®Google Scholar
• Schmitt , K. 1986 . Boundary value problems with jumping nonlinearities . Rocky Mountain Jour. Math , 16 : 481 – 496 .
   Google Scholar
• Smoller , J. 1983 . Shock Waves and Reaction Diffusion Equations , Berlin : Springer-Verlag .
   Google Scholar
• Solimini , S. 1983 . Existence of a third solution to a class of boundary value problems with jumping nonlinearities . . Nonl. Anal. TMA , 7 : 917 – 927 .
   Google Scholar