Mountain Pass Theorem and Applications to\\ Fourth-order PDES with Variable Exponents

Atieh Jalali; Ghasem Afrouzi; John R. Graef

doi:10.5269/bspm.71034

Mountain Pass Theorem and Applications to\\ Fourth-order PDES with Variable Exponents

Autores

Atieh Jalali University of Mazandaran http://orcid.org/0000-0001-7079-0659
Ghasem Afrouzi University of Mazandaran http://orcid.org/0000-0001-8794-3594
John R. Graef

DOI:

https://doi.org/10.5269/bspm.71034

Resumo

The authors establish the existence of multiple weak solutions to a fourth order equation. Their analysis employs the
Mountain Pass Theorem combined with variable exponent theory of generalized Lebesgue-Sobolev spaces.

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PDF (Inglês)

Publicado

2025-09-30

Edição

v. 43 (2025)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

Como Citar

Jalali, A., Afrouzi, G., & Graef, J. R. (2025). Mountain Pass Theorem and Applications to\\ Fourth-order PDES with Variable Exponents. Boletim Da Sociedade Paranaense De Matemática, 43, 1-12. https://doi.org/10.5269/bspm.71034