Results 21 to 30 of about 2,533 (95)
Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 46, Page 2453-2472, 2004., 2004 This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave‐convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of ...
Abdallah El Hamidi
wiley +1 more source
Remarks on the boundary curve of a constant mean curvature topological disc [PDF]
, 2016 We discuss some consequences of the existence of the holomorphic quadratic Hopf differential on a conformally immersed constant mean curvature topological disc with analytic boundary.
Brander, David, Lopez, Rafael
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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 +2 more
wiley +1 more source
Solutions of nonlinear problems involving p(x)-Laplacian operator
Advances in Nonlinear Analysis, 2015 In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
doaj +1 more source
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
, 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.
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The obstacle problem for the infinity fractional laplacian [PDF]
, 2016 Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ.
Moreno Mérida, Lourdes +1 more
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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
Open Mathematics, 2018 This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
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Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
, 2015 We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
core +2 more sources