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;
2023-01-01

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.
2023
Schrödinger equations
Cartan-Hadamard manifolds
Oscillating nonlinearities
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12078/28427
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