Open AccessThree nontrivial solutions for some elliptic equation involving the $N$-Laplacian
Author(s) -
Sami Aouaoui
Publication year - 2015
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2015.1.2
Subject(s) - mathematics , laplace operator , elliptic curve , pure mathematics , p laplacian , mathematical analysis , boundary value problem
A new variational approach is used in order to establish the existence of at least three nontrivial solutions to some elliptic equation involving the N-Laplacian and whose nonlinearity term enjoys a critical exponential growth. The well known Ambrosetti–Rabinowitz condition is not needed.
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