D. Raom

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math.AP2026

Lane-Emden Problems on Convex Domains of $S^{2}$

Massimo Grossi, Luigi Provenzano, Daniel Raom

We study positive solutions of the Dirichlet problem $- Δ u = u^{p}$ in a uniformly convex domain $Ω \subset S^{2}$ , $u = 0$ on $\partial Ω.$ For $p = 1$ , we assume that the right-han…

math.AP2019

Mini-Max Algorithm via Pohozaev Manifold

L. A. Maia, D. Raom, R. Ruviaro +1

A new algorithm for solving non-homogeneous asymptotically linear and superlinear problems is proposed. The ground state solution of the problem, which in general is obtained as a…

Lane-Emden Problems on Convex Domains of S2

Mini-Max Algorithm via Pohozaev Manifold

Lane-Emden Problems on Convex Domains of $S^{2}$