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Original Articles

Solutions of a nonlinear Dirichlet problem in which the nonlinear part is bounded from above and below by polynomials

Pages 35-40 | Published online: 14 Oct 2010

References

  • Ambrosetti , A. and Prodi , G. 1972 . On the inversion of some differentiable mappings with singularities between Banach spaces . Ann. Math. Pure Appl. , 93 : 213 – 246 .
  • Bahri , A. and Berestycki , B. 1981 . A perturbation method in critical point theory and applications . Trans. Amer. Math. Soc. , 267 : 1 – 30 .
  • Berger , M.S . 1977 . Nonlinearity and functional analysis , New York : Academic Press .
  • Berger , M. S. and Podolak , E. 1975 . On the solutions of a nonlinear Dirichlet problems . Indiana Univ. Math. J. , 24 : 837 – 846 .
  • Beczek , J. 1987 . On solutions of some nonlinear Dirichlet problems . Zeszyty naukowe UG , : 7 – 15 .
  • Beczek , J. 1988 . On the existence of solutions of some nonlinear Dirichlet problems . Annales Polonici Math. , XLIX : 45 – 51 .
  • Dancer , E. N. 1977 . On the Dirichlet Problem for Weakly Nonlinear Elliptic Partial Differential Equations . Proc. Royal. Soc. , 76 A : 283 – 300 . Edinburgh
  • J. Dugundi and A. Granas Fixed point theory, PWN Warszawa, 1982.
  • Ladyzenskaya , O. and Uralceva , N. 1968 . “ Linear and Quasilinear Elliptic Partial Differential Equations ” . In Academic Press New York
  • Nirenberg , L. 1974 . “ Topics in Nonlinear Functional Analysis ” . In Courant Inst. of Math. Sciences New York

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