Results 1 to 10 of about 31,726 (206)

Implicit Low-Rank Riemannian Schemes for the Time Integration of Stiff Partial Differential Equations. [PDF]

J Sci Comput
Sutti M, Vandereycken B.
europepmc   +1 more source

A novel framework for secure cryptocurrency transactions using quantum crypto guard. [PDF]

PeerJ Comput Sci
Alsayaydeh JAJ, Yusof MF, Yahaya NA, Kovtun V, Herawan SG.   +4 more
europepmc   +1 more source

Quantum Elastica. [PDF]

Entropy (Basel)
Geiger D, Werman M.
europepmc   +1 more source

On the use of elliptic PDEs for the parameterisation of planar multipatch domains: Part 1: Numerical algorithms and foundations of parametric control. [PDF]

Eng Comput
Hinz J, Buffa A.
europepmc   +1 more source

Optical solitons, bifurcation, and chaos in the nonlinear conformable Schrödinger equation with group velocity dispersion coefficients and second-order spatiotemporal terms. [PDF]

Sci Rep
Omar FM, Murad MAS, Mahmood SS, Malik S, Radwan T.   +4 more
europepmc   +1 more source

Variational method for elliptic systems with discontinuous nonlinearities

Sbornik: Mathematics, 2021
Abstract A system of two elliptic equations with discontinuous nonlinearities and homogeneous Dirichlet boundary conditions is studied. Existence theorems for strong and semiregular solutions are deduced using a variational method. A strong solution is called semiregular if the set on which the values of the solution are points of ...
Pavlenko, Vyacheslav N., Potapov, Dmitriy K.   +1 more
openaire   +2 more sources

Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods

2013
This is concerned with the existence of solutions to a class of semilinear elliptic systems of the form $$\displaystyle{\left \{\begin{array}{ll} - div(a(x)\nabla u) = \lambda F_{u}(x,u,v)&\mathrm{in}\,\varOmega, \\ - div(b(x)\nabla v) = \lambda F_{v}(x,u,v) &\mathrm{in}\,\varOmega, \\ u = v = 0 &\mathrm{on}\,\partial \varOmega, \end{array} \right.}
G. A. Afrouzi, M. Mirzapour
openaire   +1 more source

Variational Methods for Boundary Value Problems for Systems of Elliptic Equations.

The American Mathematical Monthly, 1965
A. Friedman, M. A. Lavrent'ev
openaire   +1 more source

Existence of non-negative solutions for semilinear elliptic systems via variational methods

Nonlinear Analysis, 2012
In this paper we consider a semilinear elliptic system with nonlinearities, indefinite weight functions and critical growth terms in bounded domains. The existence result of nontrivial nonnegative solutions is obtained by variational methods.
Somayeh Khademloo, Shapur Heidarkhani
doaj   +3 more sources

A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials [PDF]

Differential Equations & Applications, 2020
Summary: In this paper, a system of quasilinear elliptic equations is investigated, which involves multiple critical Hardy-Sobolev exponents and symmetric multi-polar potentials. By employing the variational methods and analytic techniques, the relevant best constants are studied and the existence of \((\mathbb{Z}_k \times\mathbb{SO}(N-2))^2 ...
Rashidi, Ali Jabar, Shekarbaigi, Mohsen
openaire   +1 more source