On the existence of blowing-up solutions for a mean field equation * *The first and second
authors are supported by MURST, Page 1 Ann. IH Poincaré – AN 22 (2005) 227–257 www.elsevier.com/locate/anihpc …

We consider the boundary value problem Δu+ up= 0 in a bounded, smooth domain Ω in R2
with homogeneous Dirichlet boundary condition and pa large exponent. We find topological …

We prove the existence of equilibria of the N-vortex Hamiltonian in a bounded domain Ω ⊂
R^ 2, which is not necessarily simply connected. On an arbitrary bounded domain we obtain …

We consider the boundary value problem Δ u+⋎ x⋎ 2α up= 0, α> 0, in the unit ball B with
homogeneous Dirichlet boundary condition and pa large exponent. We find a condition …

We compute the Morse index of 1-spike solutions of the semilinear elliptic problem (P p){− Δ
u= up in Ω u= 0 on∂ Ω u> 0 in Ω where Ω⊂ R 2 is a smooth bounded domain and p> 1 is …

We are concerned with the Lane-Emden problem {− Δ u= up in Ω, u> 0 in Ω, u= 0 on∂ Ω,
where Ω⊂ R 2 is a smooth bounded domain and p> 1 is sufficiently large. Improving some …

In this paper we give asymptotic estimates of the least energy solution $ u_p $ of the
functional\begin {equation*} J (u)=\int _\Omega|\nabla u|^ 2\quad\text {constrained on the …

Asymptotic analysis and sign-changing bubble towers for Lane–Emden problems Page 1
DOI 10.4171/JEMS/549 J. Eur. Math. Soc. 17, 2037–2068 c European Mathematical Society …

Full article: Some Results for the Gelfand's Problem Skip to Main Content Taylor and Francis
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Abstract We consider the Lane–Emden Dirichlet problem {− Δ u=| u| p− 1 u, in B, u= 0, on∂
B, where p> 1 and B denotes the unit ball in R 2. We study the asymptotic behavior of the …