PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 6

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  p(x)-Laplacian
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Singular quasilinear convective systems involving variable exponents
Moussaoui Abdelkrim, Nabab Dany, Vélin Jean
Opuscula Mathematica
|
2024
|
Vol. 44, no. 1
105--134
EN
The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder’s fixed point theorem.
2
Content available On optimal and quasi-optimal controls in coefficients for multi-dimensional thermistor problem with mixed Dirichlet-Neumann boundary conditions
Kogut Peter I.
Control and Cybernetics
|
2019
|
Vol. 48, No. 1
31--68
EN
In this paper we deal with an optimal control problem in coefficients for the system of two coupled elliptic equations, also known as the thermistor problem, which provides a simultaneous description of the electric field u = u(x) and temperature θ(x). The coefficients of the operator div (B(x)∇θ(x)) are used as the controls in L∞(Ω). The optimal control problem is to minimize the discrepancy between a given distribution θd ∈ Lr(Ω) and the temperature of thermistor θ ∈ W1,γ 0 (Ω) by choosing an appropriate anisotropic heat conductivity matrix B. Basing on the perturbation theory of extremal problems and the concept of fictitious controls, we propose an “approximation approach” and discuss the existence of the so-called quasi-optimal and optimal solutions to the given problem.
3
Content available Continuous spectrum of Steklov nonhomogeneous elliptic problem
Allaoui M.
Opuscula Mathematica
|
2015
|
Vol. 35, no. 6
853--866
EN
By applying two versions of the mountain pass theorem and Ekeland's variational principle, we prove three different situations of the existence of solutions for the following Steklov problem: [formula] where Ω ⊂ RN (N ≥ 2) is a bounded smooth domain and p, q: Ω → (1, + ∞) are continuous functions.
4
Content available Existence and multiplicity results for nonlinear problems involving the p(x)-laplace operator
Tsouli N., Darhouche O.
Opuscula Mathematica
|
2014
|
Vol. 34, no. 3
621--638
EN
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.
5
Content available remote Existence Result for Differential Inclusion with p(x) - Laplacian
Barnaś S.
Schedae Informaticae
|
2012
|
Vol. 21
41--54
EN
In this paper we study the nonlinear elliptic problem with p(x)- Laplacian (hemivariational inequality). We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [4].
6
Content available Existence result for hemivariational inequality involving p(x)-Laplacian
Barnaś S.
Opuscula Mathematica
|
2012
|
Vol. 32, no. 3
439-454
EN
In this paper we study the nonlinear elliptic problem with p(x)-Laplacian (hemivariational inequality). We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102-129].
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.