Skip to main content
Log in

A global compactness result for elliptic boundary value problems involving limiting nonlinearities

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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.

References

  1. Aubin, T.: Nonlinear analysis on manifolds, Monge-Ampère equations. Grundlehren252. Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  2. Böhme, R.: Die Lösung der Variationsgleichungen für nichtlineare Eigenwertprobleme. Math. Z.123, 105–126 (1972)

    Google Scholar 

  3. Brezis, H., Coron, J.-M.: Convergence de solutions deH-systèmes et applications aux surfaces à courbure moyenne constante, preprint

  4. Brezis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math.36 (1983)

  5. Cerami, G., Fortunato, D., Struwe, M.: Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents, preprint

  6. Donaldson, S.K.: An application of gauge theory to four dimensional topology. J. Diff. Geom.18, 279–315 (1983)

    Google Scholar 

  7. Eisen, G.: A selection lemma for measurable sets, and lower semicontinuity of multiple integrals. Manuscripta Math.27, 73–79 (1979)

    Google Scholar 

  8. Gidas, B., Ni, W.-M., Nirenberg, L.: Symmetry and related properties via the maximum principle. Comm. Math. Phys.68, 209–243 (1979)

    Google Scholar 

  9. Lions, P.-L.: Applications de la méthode de concentration-compacité á l'existence de fonctions extrémales. C.R. Acad. Sc. Paris296, 645–648 (1983)

    Google Scholar 

  10. Marino, A.: La biforcazione nel caso variazionale. Confer. Sem. Nat. Univ. Bari,132 (1973)

  11. Palais, R.S.: Morse theory on Hilbert manifolds. Topology2, 299–340 (1963)

    Google Scholar 

  12. Pohožaev, S.I.: Eigenfunctions of the equation Δuf(u)=0. Dokldy165, 1408–1412 (1965)

    Google Scholar 

  13. Rabinowitz, P.H.: Some aspects of nonlinear eigenvalue problems. Rocky Mount. J. Math.3, 161–202 (1973)

    Google Scholar 

  14. Sacks, P.-K. Uhlenbeck: On the existence of minimal immersions of 2-spheres. Ann. Math.113, 1–24 (1981)

    Google Scholar 

  15. Struwe, M.: LargeH-surfaces via the mountain-pass-lemma. preprint

  16. Wente, H.C.: Large solutions to the volume constrained Plateau problem. Arch. Rational Mech. Anal.75, 59–77 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author is indebted to the Eidgenössische Technische Hochschule Zürich for its kind hospitality and support

Rights and permissions

Reprints and permissions

About this article

Cite this article

Struwe, M. A global compactness result for elliptic boundary value problems involving limiting nonlinearities. Math Z 187, 511–517 (1984). https://doi.org/10.1007/BF01174186

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174186

Keywords

Navigation