Skip to main content
Log in

Positive solutions for a quasilinear degenerate elliptic equation inR n

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

In questa nota proviamo un teorema di esistenza di soluzioni positive su tuttoR n della equazionediv(|Du| p−2Du)+f(u)=0.

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. Berestycki H., Lions P.L.,Nonlinear scalar field equations, I, Arch. Rat. Mech. and Anal.,82 (1983), 313–345.

    MATH  MathSciNet  Google Scholar 

  2. Coleman S., Glazer V., Martin A.,Action minima among solutions to a class of Euclidean scalar field equations, Comm. Math., Phys.,58 (1978), 211–221.

    Article  MathSciNet  Google Scholar 

  3. Ni W.M., Serrin J.,Non-existence theorems for quasilinear partial differential equations, To appear, Rend. Circolo Mat. Palermo,5 (1985).

  4. Strauss W.A.,Existence of solitary waves in higher dimensions, Comm. Math. Phys.,55 (1977), 149–162.

    Article  MATH  MathSciNet  Google Scholar 

  5. Talenti G.,Best constant in Sobolev inequality, Ann. Mat. Pura ed Appl.,110 (1976), 353–372.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Citti, G. Positive solutions for a quasilinear degenerate elliptic equation inR n . Rend. Circ. Mat. Palermo 35, 364–375 (1986). https://doi.org/10.1007/BF02843904

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02843904

Keywords

Navigation