@Article{JPDE-23-80,
author = {},
title = {Infinitely Many Solutions for an Elliptic Problem with Critical Exponent in Exterior Domain},
journal = {Journal of Partial Differential Equations},
year = {2010},
volume = {23},
number = {1},
pages = {80--104},
abstract = {<p>We consider the following nonlinear problem -Δu=u^{\frac{N+2}{N-2}}, u &gt; 0, in R^N\Ω, u(x)→ 0, as |x|→+∞, \frac{∂u}{∂n}=0, on ∂Ω, where Ω⊂R^N N ≥ 4 is a smooth and bounded domain and n denotes inward normal vector of ∂Ω. We prove that the above problem has infinitely many solutions whose energy can be made arbitrarily large when Ω is convex seen from inside (with some symmetries).</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v23.n1.5},
url = {http://global-sci.org/intro/article_detail/jpde/5223.html}
}