Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

Kanishka Perera; Kaye Silva

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arXiv · 2503.13648

Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

Kanishka Perera·Kaye Silva

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Abstract

We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schr\"{o}dinger--Poisson--Slater type equations.

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Kanishka Perera, Kaye Silva. 2025-03-17. Prescribed energy solutions to some scaled problems via a scaled Nehari manifold. https://arxiv.org/abs/2503.13648

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