Výsledky vyhledávání - "variational principle"

Akademický článek

Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods

Autor: RuiYing Shao, Jalil Manafian, Onur Alp İlhan, K. H. Mahmoud, Baraa Abd Alreda, A. SA. Alsubaie

Publikováno v: Scientific Reports, Vol 14, Iss 1, Pp 1-21 (2024)

Abstract In this paper, the thin-film ferroelectric material equation which enables a propagation of solitary polarization in thin-film ferroelectric materials, and it also can be described using the nonlinear evolution equations. Ferroelectrics are

Externí odkaz: https://doaj.org/article/332fb2139f194f2a9bfd9393bcde930b

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Akademický článek

On an anisotropic $ \overset{\rightarrow }{p}(\cdot) $-Laplace equation with variable singular and sublinear nonlinearities

Autor: Mustafa Avci

Publikováno v: Communications in Analysis and Mechanics, Vol 16, Iss 3, Pp 554-577 (2024)

In the present paper, we study an anisotropic $ \overset{\rightarrow }{p}(\cdot) $-Laplace equation with combined effects of variable singular and sublinear nonlinearities. Using the Ekeland's variational principle and a constrained minimization, we

Externí odkaz: https://doaj.org/article/7fc1671c54ec44979affdc0e4e71a091

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Akademický článek

Existence of nontrivial solutions for a fractional p & q $p\&q$ -Laplacian equation with sandwich-type and sign-changing nonlinearities

Autor: Qin Li, Zonghu Xiu, Lin Chen

Publikováno v: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-15 (2024)

Abstract In this paper, we deal with the following fractional p & q $p\&q$ -Laplacian problem: { ( − Δ ) p s u + ( − Δ ) q s u = λ a ( x ) | u | θ − 2 u + μ b ( x ) | u | r − 2 u in Ω , u ( x ) = 0 in R N ∖ Ω , $$ \left \{ \textstyle

Externí odkaz: https://doaj.org/article/3e66a1b23baf48438f37f4a9d3494f2f

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Akademický článek

A Dual Lagrange Multiplier Approach for the Dynamics of the Mechanical Systems

Autor: Naveed Anjum, Ji-Huan He

Publikováno v: Journal of Applied and Computational Mechanics, Vol 10, Iss 3, Pp 643-651 (2024)

The variational iteration method, a powerful tool for solving nonlinear oscillators with initial conditions, has been expanded to accommodate two-point boundary conditions. In this modification, two Lagrange multipliers are introduced, and their iden

Externí odkaz: https://doaj.org/article/f360cee9ee09458f907d2a9c44a1893c

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Akademický článek

On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Autor: Unal Cihan

Publikováno v: Demonstratio Mathematica, Vol 57, Iss 1, Pp 4916-4926 (2024)

In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem. Moreover, we give some

Externí odkaz: https://doaj.org/article/300a60251cbf494cbe2c9994b937c567

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