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arXiv · 2210.05452

On asymptotically linear elliptic problems

José Roberto Nascimento·Marcos Tadeu O. Pimenta·João R. Santos Júnior
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Abstract

In this paper we prove the existence of a signed ground state solution in the mountain pass level for a class of asymptotically linear elliptic problems, even when the nonlinearity is just continuous in the second variable. The (strongly) resonant and non-resonant cases are discussed. A multiplicity result is also proved when $f$ is odd with respect to the second variable.

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José Roberto Nascimento, Marcos Tadeu O. Pimenta, João R. Santos Júnior. 2022-10-11. On asymptotically linear elliptic problems. https://arxiv.org/abs/2210.05452

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