On nonlinear perturbations of a periodic fractional Schrödinger equation with critical exponential growth |
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Authors: | Manassés de Souza Yane Lisley Araújo |
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Institution: | 1. Departamento de Matemática, Universidade Federal da Paraíba, Jo?o, Pessoa, PB, Brazil;2. +55 3. 083 4. 3216 5. 3474+55 6. 7487 |
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Abstract: | In this paper we study the existence of solutions for fractional Schrödinger equations of the form where V is a potential bounded and the nonlinear term has the critical exponential growth. We prove the existence of at least one weak solution by combining the mountain‐pass theorem with the Trudinger–Moser inequality and a version of a result due to Lions for critical growth in . |
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Keywords: | Variational methods critical points Trudinger– Moser inequality fractional Laplacian 35J20 35J60 35R11 |
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