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pro vyhledávání: '"variational problem"'
Autor:
Khodayar Goodarzi
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 6, Iss 1, Pp 63-71 (2024)
The goal of this article is to compute conservation law, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation using the homotopy operator, the $\mu$-symmetry method and the variational problem method. The generalized Rosenau
Externí odkaz:
https://doaj.org/article/095c8de8836447b99d0aea5b45e60595
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 121-140 (2024)
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({|
Externí odkaz:
https://doaj.org/article/58966feb841a4ed2b30c8d8b9ba21a85
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp pp. 1-5 (2024)
We establish regularity results for equilibrium configurations of vectorial multidimensional variational problems, involving bulk and surface energies. The bulk energy densities are uniformly strictly quasiconvex functions with pp-growth, p≥2p\ge 2
Externí odkaz:
https://doaj.org/article/e962fad9b9d344d295e14f197f1d906d
Publikováno v:
Results in Applied Mathematics, Vol 23, Iss , Pp 100467- (2024)
Based on the existing initial boundary value and variational problems of Lord–Shulman thermopiezoelectricity a transient analysis of the behavior of piezoelectric materials is performed numerically. For space discretization of the variational probl
Externí odkaz:
https://doaj.org/article/e2a0f8ab0560455abe3481b1f42258f2
Akademický článek
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Autor:
Messaoud Bounkhel
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 29555-29568 (2023)
In this paper, we expanded from the convex case to the nonconvex case in the setting of reflexive smooth Banach spaces, the concept of the $ f $-generalized projection $ \pi^{f}_S:X^*\to S $ initially introduced for convex sets and convex functions i
Externí odkaz:
https://doaj.org/article/b1d09dbd5df54e4e8321ac357abe22f8
Autor:
Kamal Ould Bouh
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-14 (2023)
Abstract This paper is devoted to studying the nonlinear problem with slightly subcritical and supercritical exponents ( S ± ε ) : Δ 2 u − c n Δ u + d n u = K u n + 4 n − 4 ± ε $(S_{\pm \varepsilon}): \Delta ^{2}u-c_{n}\Delta u+d_{n}u = Ku^
Externí odkaz:
https://doaj.org/article/1ac4beb63903408ea13b1f9554ae31c8