EXISTENCE, NONEXISTENCE AND ANTIMAXIMUM P RINCIPLE FOR THE P-LAPLACIAN

Authors
FLECKINGER J GOSSEZ JP TAKAC P DETHELIN F
Citation
J. Fleckinger et al., EXISTENCE, NONEXISTENCE AND ANTIMAXIMUM P RINCIPLE FOR THE P-LAPLACIAN, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(6), 1995, pp. 731-734
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
6
Year of publication
1995
Pages
731 - 734
Database
ISI
SICI code
0764-4442(1995)321:6<731:ENAAPR>2.0.ZU;2-2
Abstract
We show that the Dirichlet problem for -Delta(p) u = mu/u/(p-2) u + h (x) is not always solvable when mu = lambda(1). We deduce an antimaxim um principle when mu > lambda(1). We also consider the corresponding a symmetric problems.