Results 21 to 30 of about 2,468 (90)

On the economical solution method for a system of linear algebraic equations

Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 377-410, 2004., 2004
The present work proposes a novel optimal and exact method of solving large systems of linear algebraic equations. In the approach under consideration, the solution of a system of algebraic linear equations is found as a point of intersection of hyperplanes, which needs a minimal amount of computer operating storage. Two examples are given.
Jan Awrejcewicz, Vadim A. Krysko, Anton V. Krysko   +2 more
wiley   +1 more source

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

Advanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun, Nie Zhaohu, Wang Zhi-Qiang   +2 more
doaj   +1 more source

On singular quasilinear elliptic equations with data measures

Advances in Nonlinear Analysis, 2021
The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine, Aqel Fatima, Taourirte Laila   +2 more
doaj   +1 more source

Comment on "Removable singularities for solutions of coupled Yang-Mills-Dirac equations" [J. Math. Phys. 47, 103502 (2006)]

, 2007
A lemma from elliptic theory is used to improve a recent result by Li concerning the removability of an isolated point singularity from solutions of the coupled Yang-Mills-Dirac equations.Comment: 3 ...
Otway, Thomas H.
core   +2 more sources

Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group

Abstract and Applied Analysis, Volume 2004, Issue 2, Page 155-164, 2004., 2004
We establish nonexistence results to systems of differential inequalities on the (2N + 1)‐Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1 ≤ i ≤ m. Our results improve the known estimates of the critical exponent.
Abdallah El Hamidi, Mokhtar Kirane
wiley   +1 more source

Fractional Hardy-Sobolev equations with nonhomogeneous terms

Advances in Nonlinear Analysis, 2021
This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi, Chakraborty Souptik, Pucci Patrizia   +2 more
doaj   +1 more source

A finite‐dimensional reduction method for slightly supercritical elliptic problems

Abstract and Applied Analysis, Volume 2004, Issue 8, Page 683-689, 2004., 2004
We describe a finite‐dimensional reduction method to find solutions for a class of slightly supercritical elliptic problems. A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for ...
Riccardo Molle, Donato Passaseo
wiley   +1 more source

Singular measure as principal eigenfunction of some nonlocal operators

, 2013
In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)
Coville, Jerome
core   +1 more source

Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations

Abstract and Applied Analysis, Volume 2004, Issue 3, Page 205-214, 2004., 2004
We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj = ∂/∂xj, where aij : Ω → ℝ are functionssatisfying suitable hypotheses.
Albo Carlos Cavalheiro
wiley   +1 more source

Singular Limits for 4-Dimensional General Stationary Q-Kuramoto-Sivashinsky Equation (Q-Kse) with Exponential Nonlinearity

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let Ω be a bounded domain in with smooth boundary, and let 𝓧1; 𝓧2; · · ·, 𝓧m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE:
Ouni Taieb, Baraket Sami, Khtaifi Moufida   +2 more
doaj   +1 more source