44 citations · 128 across the 34 of their papers we have counts for
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Exact multiplicity results for a singularly perturbed Neumann problem
Massimo Grossi, Sérgio Neves
In this paper we study the number of the boundary single peak solutions of the problem {align*} {cases} -\varepsilon^2 Δu + u = u^p, &\text{in}Ωu > 0, &\text{in}Ω\frac{\partial u}{…
Multiple blow-up phenomena for the sinh-Poisson equation
Massimo Grossi, Angela Pistoia
We consider the sinh-Poisson equation $$(P)_λ\quad -Δu=\la\sinh u\ \hbox{in}\ Ω,\ u=0\ \hbox{on}\ \partialΩ,$$ where is a smooth bounded domain in $\rr^2$ and is a small po…
Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem
Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka +1
Blow-up solutions to the two-dimensional Gel'fand problem are studied. It is known that the location of the blow-up points of these solutions is related to a Hamiltonian function i…
Lane Emden problems with large exponents and singular Liouville equations
Massimo Grossi, Christopher Grumiau, Filomena Pacella
We consider the Lane-Emden Dirichlet problem -Δu = \abs{u}^{p-1}u, in B, u =0, on \partial B, where and denotes the unit ball in $\IR^2$. We study the asymptotic behavior…
Lane Emden problems: asymptotic behavior of low energy nodal solutions
Massimo Grossi, Christopher Grumiau, Filomena Pacella
We study the nodal solutions of the Lane Emden Dirichlet problem Ω\IR^2p>1u_p$ s…