Temat: generalized Lebesgue-Sobolev spaces - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and multiplicity results for nonlinear problems involving the p(x)-laplace operator
Autorzy:: Tsouli, N.
Darhouche, O.
Powiązania:: https://bibliotekanauki.pl/articles/256023.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: critical points
variational method
generalized Lebesgue-Sobolev spaces
p(x)-Laplacian
Opis:: In this paper we study the following nonlinear boundary-value problem [formula] where Ω ⊂ RN is a bounded domain with smooth boundary [formula] is the outer unit normal derivative on [formula] are two real numbers such that [formula] is a continuous function on Ω with [formula] are continuous functions. Under appropriate assumptions on ƒ and g, we obtain the existence and multiplicity of solutions using the variational method. The positive solution of the problem is also considered.
Źródło:: Opuscula Mathematica; 2014, 34, 3; 621-638
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Existence and asymptotic stability for generalized elasticity equation with variable exponent
Autorzy:: Dilmi, Mohamed
Otmani, Sadok
Powiązania:: https://bibliotekanauki.pl/articles/29519335.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: asymptotic stability
variable exponent Lebesgue
Sobolev spaces
generalized elasticity equation
Opis:: In this paper we propose a new mathematical model describing the deformations of an isotropic nonlinear elastic body with variable exponent in dynamic regime. We assume that the stress tensor σp(·) has the form $ σ^{p(·)}(u) =(2μ + |d(u)|^{p(·)−2}) d(u) + λTr (d(u)) I_3, $ where u is the displacement field, μ, λ are the given coefficients d(·) and I3 are the deformation tensor and the unit tensor, respectively. By using the Faedo-Galerkin techniques and a compactness result we prove the existence of the weak solutions, then we study the asymptotic behaviour stability of the solutions.
Źródło:: Opuscula Mathematica; 2023, 43, 3; 409-428
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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