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

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

Abstract

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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Published

2025-09-30

Issue

Vol 43 (2025)

Section

Research Articles

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