Skip to main content
Log in

Strongly nonlinear unilateral problems

  • Technical Note
  • Published:
Applied Mathematics and Optimization Aims and scope Submit manuscript

Abstract

This paper will be concerned with the existence of the solutions to the strongly nonlinear unilateral (and bilateral) problems. Furthermore, some other properties of the solutions are proved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brézis H (1968) Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann Inst Fourier (Grenoble) 18:115–175

    Google Scholar 

  2. Brézis H, Browder FE (1978) Strongly nonlinear elliptic boundary value problems. Ann Sc Norm Sup Pisa 5:587–603

    Google Scholar 

  3. Brézis H, Broder FE (to appear) Some properties of higher order Sobolev spaces. J Math Pures Appl

  4. Browder FE (1977) Pseudomonotone operators and nonlinear elliptic boundary value problems on unbounded domains. Proc Nat Acad Sci 74:2659–2661

    Google Scholar 

  5. Edmunds DE, Webb JRL (1973) Quasilinear elliptic problems in unbounded domains. Proc Roy Soc London, Ser A, 337:397–410

    Google Scholar 

  6. Hedberg LI (1978) Two approximation problems in function spaces. Ark Mat 16:51–81

    Google Scholar 

  7. Hedberg LI (to appear) Spectral synthesis in Sobolev spaces. Acta Math

  8. Hess P (1973) Variational inequalities for strongly nonlinear elliptic operators. J Math Pures Appl 52:285–298

    Google Scholar 

  9. Hess P (1974) On a class of strongly nonlinear elliptic variational inequalities. Math Ann 211:289–297

    Google Scholar 

  10. Mustonen V (1978) A class of strongly nonlinear variational inequalities. J London Math Soc (2) 18:157–165

    Google Scholar 

  11. Mustonen V (1979) A class of strongly nonlinear variational inequalities in unbounded domains. J. London Math Soc (2) 19:319–328

    Google Scholar 

  12. Webb JRL (1980) Boundary value problems for strongly nonlinear elliptic equations. J London Math Soc (2) 21:123–132

    Google Scholar 

  13. Stein EM (1970) Singular integrals and differentiability properties of functions. Princeton University Press, Princeton

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by D. Kinderlehrer

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boccardo, L., Giachetti, D. Strongly nonlinear unilateral problems. Appl Math Optim 9, 291–301 (1982). https://doi.org/10.1007/BF01460128

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01460128

Keywords

Navigation