Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 9

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Elliptic problems in generalized Orlicz-Musielak spaces

100%
Gwiazda P., Minakowski P., Wróblewska-Kamińska A.
Open Mathematics
|
2012
|
tom 10
|
nr 6
2019-2032
EN
We consider a strongly nonlinear monotone elliptic problem in generalized Orlicz-Musielak spaces. We assume neither a Δ2 nor ∇2-condition for an inhomogeneous and anisotropic N-function but assume it to be log-Hölder continuous with respect to x. We show the existence of weak solutions to the zero Dirichlet boundary value problem. Within the proof the L ∞-truncation method is coupled with a special version of the Minty-Browder trick for non-reflexive and non-separable Banach spaces.
2
Content available remote

On phase segregation in nonlocal two-particle Hartree systems

76%
Aschbacher W., Squassina M.
Open Mathematics
|
2009
|
tom 7
|
nr 2
230-248
EN
We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.
3
Content available remote

On the Calabi-Yau equation in the Kodaira-Thurston manifold

76%
Vezzoni L.
Complex Manifolds
|
2016
|
tom 3
|
nr 1
EN
We review some previous results about the Calabi-Yau equation on the Kodaira-Thurston manifold equipped with an invariant almost-Kähler structure and assuming the volume form T2-invariant. In particular, we observe that under some restrictions the problem is reduced to aMonge-Ampère equation by using the ansatz ˜~ω = Ω− dJdu + da, where u is a T2-invariant function and a is a 1-form depending on u. Furthermore, we extend our analysis to non-invariant almost-complex structures by considering some basic cases and we finally take into account a generalization to higher dimensions.
4
Content available remote

Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth

76%
Zhang H., Xu J., Zhang F., Du M.
Open Mathematics
|
2014
|
tom 12
|
nr 10
1484-1499
EN
For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.
5
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem

76%
Wiśniewski D., Bodzioch M.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
|
2016
|
tom 15
EN
We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.
6
Content available remote

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

76%
Gorban Y.
Open Mathematics
|
2017
|
tom 15
|
nr 1
768-786
EN
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…, qn and a set of weighted functions ν1,…, νn in growth and coercitivity conditions on coefficients of the equations. The exponents qi characterize the rates of growth of the coefficients with respect to the corresponding derivatives of unknown function, and the functions νi characterize degeneration or singularity of the coefficients with respect to independent variables. Our aim is to investigate the existence of entropy solutions of the problem under consideration.
7
Content available remote

Boundary regularity of flows under perfect slip boundary conditions

64%
Kaplický P., Tichý J.
Open Mathematics
|
2013
|
tom 11
|
nr 7
1243-1263
EN
We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.
8
Content available remote

Comments on behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities

64%
Bodzioch M., Wiśniewski D., Żyjewski K.
Open Mathematics
|
2017
|
tom 15
|
nr 1
667-678
EN
We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution’s decreasing rate near the boundary singularities.
9
Content available remote

Conformal Geometry and the Composite Membrane Problem

64%
Chanillo S.
Analysis and Geometry in Metric Spaces
|
2013
|
tom 1
31-35
EN
We show that a certain eigenvalue minimization problem in two dimensions for the Laplace operator in conformal classes is equivalent to the composite membrane problem. We again establish such a link in higher dimensions for eigenvalue problems stemming from the critical GJMS operators. New free boundary problems of unstable type arise in higher dimensions linked to the critical GJMS operator. In dimension four, the critical GJMS operator is exactly the Paneitz operator.
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.