Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 7

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: variational methods

Sortuj według:

Ogranicz wyniki do:

Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball

100%

Graef J. R. , Hebboul D. , Moussaoui T.

tom Vol. 43, no. 1

47--66

In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the p-Laplacian [formula] where λ > 0 is a parameter, Ωe = {x ∈ RN : |x| > r0}, r0 > 0, N > p > 1, Δp is the p-Laplacian operator, and f ∈ C([r0,+∞) × [0,+∞) ,R) is a non-decreasing function with respect to its second variable. By using the Mountain Pass Theorem, they prove the existence of positive radial solutions for small values of λ.

Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications

100%

El Amrouss A. , Hammouti O.

tom Vol. 41, no. 4

489--507

Let n ∈ N*, and N ≥ n be an integer. We study the spectrum of discrete linear 2n-th order eigenvalue problems [formula] where λ is a parameter. As an application of this spectrum result, we show the existence of a solution of discrete nonlinear 2n-th order problems by applying the variational methods and critical point theory.

Strong and Weak Formulations of Contact Problems with Various Laws of Friction, Frictional Heat and Wear

88%

Zmitrowicz A.

tom Vol. 24, No. 1

209-222

Modern methods of analysis of contact problems are based on the variational approach which together with the finite element method expand possibilities of analysis in many cases. In this contribution, generalizations of classical variational formulations are given in the case of contact of rubbing and wearing solids. Variational formulations are developed starting from strong forms of governing relations for two contacting solids and an interfacial layer of wear debris. A definition of a contact gap between contacting solids is extended taking into account wear profiles. Constitutive models of friction, wear and frictional heat with anisotropy and inhomogeneity effects are applied. Using the finite element method, discretized forms of the variational functionals are presented.

Multiplicity results for perturbed fourth-order Kirchhoff-type problems

88%

Tavani M. R. H. , Afrouzi G. A. , Heidarkhani S.

tom Vol. 37, no. 5

755--772

In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.

Solutions to a nonlinear Maxwell equation with two competing nonlinearities in R3

88%

Bieganowski B.

tom Vol. 69, no. 1

37--60

We are interested in the nonlinear, time-harmonic Maxwell equation ∇(∇E)+V(x)E=h(x,E) in R3 with sign-changing nonlinear term h, i.e. we assume that h is of the form h(x,αw)=f(x,α)w−g(x,α)w for w∈R3, |w|=1 and α∈R. In particular, we can consider the nonlinearity consisting of two competing powers, h(x,E)=|E|p−2E−|E|q−2E with 2

On the contonuous dependence on parameters of solutions of the fourth order periodic problem

75%

Bartkiewicz M.

tom Vol. 7, nr 1

113-130

We consider the fourth order periodic problem with a functional parameter. Some sufficient conditions under which solutions of this problem continuously depend on parameters are given. Proofs of theorems are based on variational methods.

Superlinear elliptic systems with distributed and boundary controls

75%

Bors D.

tom Vol. 34, no 4

987-1004

The paper investigates the nonlinear partial differential equations of the superlinear elliptic type with the Dirichlet boundary data. Some sufficient conditions, under which the solutions of considered equations depend continuously on distributed and boundary controls, are proved. The proofs of the main results are based on variational methods.