We study the equation −Δg w + w = λα(σ)f (w) on a d-dimensional homogeneous Cartan-Hadamard Manifold M with d ≥ 3. Without using the theory of topological indices, we prove the existence of infinitely many solutions for a class of nonlinearities f which have an oscillating behavior either at zero or at infinity.
Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities
Molica Bisci, Giovanni;Secchi, Simone
2023
Abstract
We study the equation −Δg w + w = λα(σ)f (w) on a d-dimensional homogeneous Cartan-Hadamard Manifold M with d ≥ 3. Without using the theory of topological indices, we prove the existence of infinitely many solutions for a class of nonlinearities f which have an oscillating behavior either at zero or at infinity.File in questo prodotto:
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