Luigi Appolloni

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20202026

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Showing 2022 · math.APShow all

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math.AP2022

Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities

Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi

We study the equation $- Δ_{g} w + w = λ α (σ) f (w)$ on a $d$ -dimensional homogeneous Cartan-Hadamard Manifold $M$ with $d \geq 3$ . Without using the theory of topological indices…

math.AP2022

Multiple solutions for Schrödinger equations on Riemannian manifolds via $\nabla$ -theorems

Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi

We consider a smooth, complete and non-compact Riemannian manifold $(M, g)$ of dimension $d \geq 3$ , and we look for positive solutions to the semilinear elliptic equation…

Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities

Multiple solutions for Schrödinger equations on Riemannian manifolds via ∇-theorems

Multiple solutions for Schrödinger equations on Riemannian manifolds via $\nabla$ -theorems