On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations

• Autorzy: J. Chabrowski , D. G. Costa
• Języki publikacji: EN

Abstrakty

EN

We investigate the solvability of a singular equation of Caffarelli-Kohn-Nirenberg type having a critical-like nonlinearity with a sign-changing weight function. We shall examine how the properties of the Nehari manifold and the fibering maps affect the question of existence of positive solutions.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35Q55: NLS-like equations (nonlinear Schr\"odinger)
• 35B33: Critical exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 1
• Strony: 43-62

Daty

wydano

2010

Twórcy

autor

J. Chabrowski

• Department of Mathematics, University of Queensland, St. Lucia 4072, Qld, Australia

autor

D. G. Costa

• Department of Mathematical Sciences, University of Nevada Las Vegas, Box 454020, Las Vegas, NV 89154-4020, U.S.A.

Identyfikatory

DOI

10.4064/cm120-1-4