The two-dimensional Lazer–McKenna conjecture for an exponential nonlinearity
نویسندگان
چکیده
منابع مشابه
The Two-dimensional Lazer-mckenna Conjecture for an Exponential Nonlinearity
where Ω is a bounded, smooth domain in R, φ1 is a positive first eigenfunction of the Laplacian under Dirichlet boundary conditions and h ∈ C(Ω̄). We prove that given k ≥ 1 this problem has at least k solutions for all sufficiently large s > 0, which answers affirmatively a conjecture by Lazer and McKenna [22] for this case. The solutions found exhibit multiple concentration behavior around maxi...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2006
ISSN: 0022-0396
DOI: 10.1016/j.jde.2006.07.003