On p-biharmonic equations with critical growth.
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Date
2021
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Abstract
We study p-biharmonic problems dealing with concave-convex nonlinearitiesin the critical case with both Navier and Dirichlet boundary conditions in a bounded, smooth domain and some f ε C(Ω), which is either a positive or a change-sign function. By applying Nehari’s minimization method, we prove the existence of two nontrivial solutions for the problems. If f is positive, both solutions of the problem
with Navier boundary condition are positive.
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Keywords
p-biharmonic operator, Navier and Dirichlet boundary conditions, Concave-convex nonlinearities
Citation
LEME, L. C. P.; RODRIGUES, H. C.; BUENO, H. P. On p-biharmonic equations with critical growth. Brazilian Journal of Development, v. 7, n. 7, p. 70324-70341, 2021. Disponível em: <https://brazilianjournals.com/ojs/index.php/BRJD/article/view/32813>. Acesso em: 06 jul. 2022.