Ground State Solution for a Kirchhoff Problem with Exponential Critical Growth

Milan Journal of Mathematics - Tập 84 - Trang 23-39 - 2015
Giovany M. Figueiredo1, Uberlandio B. Severo2
1Faculdade de Matemática, Universidade Federal do Pará, Belém, Brasil
2Departamento de Matemática, Universidade Federal do Paraíba, João Pessoa, Brasil

Tóm tắt

We establish the existence of a positive ground state solution for a Kirchhoff problem in $${\mathbb{R}^2}$$ involving critical exponential growth, that is, the nonlinearity behaves like $${exp(\alpha_0s^2)}$$ as $${|s| \rightarrow \infty}$$ , for some $${\alpha_0 > 0}$$ . In order to obtain our existence result we used minimax techniques combined with the Trudinger-Moser inequality.

Tài liệu tham khảo

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