Existência e multiplicidade de soluções para diferentes classes de equações de Choquard

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2023-04-12

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Universidade Federal de São Carlos

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Abstract

In the present work we deal with two classes of Choquard Elliptic Equations with unbounded and sign-changing potentials, considering Fractional and Kirchhoff operators and nonlinearities with exponential critical growth. Applying variational techniques and classical theorems, under suitable conditions, we prove existence and multiplicity of solutions.

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Equações de Choquard e Kirchhoff-Choquard , Potenciais que mudam de sinal , Crescimento exponencial , Soluções ground state , Métodos variacionais , Choquard and Kirchhoff-Choquard equations , Sign-changing potentials , Exponential growth , Ground state solutions , Variational techniques

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BÖER, Eduardo de Souza. Existência e multiplicidade de soluções para diferentes classes de equações de Choquard. 2023. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2023. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/18119.

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https://repositorio.ufscar.br/handle/20.500.14289/18119

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Attribution-NonCommercial-NoDerivs 3.0 Brazil
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Brazil