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math.AP2026
An Intrinsic Sobolev Trace Theory for Riemannian Vector Bundles with Applications to Quasilinear Elliptic Equations
Carlos Daniel Velázquez-Mendoza, María de los Ángeles Sandoval-Romero, Romulo Diaz Carlos
Let \(\mathbf{E}\to M\) be a finite-rank Riemannian vector bundle over a compact Riemannian manifold with nonempty smooth boundary, equipped with a compatible connection. We develo…
math.AP2026
Infinitely many solutions to Kirchhoff-Boussinesq-type equations on Riemannian manifolds
Romulo D. Carlos, Juan Carlos Fernández, María de los Ángeles Sandoval-Romero
We study Kirchhoff-Boussinesq-type equations on closed Riemannian manifolds of the form \[ \sum_{j=0}^m a_i(-Δ_g)^m u \pm \text{div}_g(\vert\nabla u\vert_g^{p-2}\nabla u) =…