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Existence of minimizers of multi-constrained variational problems for product functions
Electronic Journal of Differential Equations, 2018 We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved is a product function not satisfying compactness, monotonicity, neither symmetry properties.
Huda Al Saud, Hichem Hajaiej
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A sub-elliptic estimate for a class of invariantly defined elliptic systems [PDF]
Pacific Journal of Mathematics, 1981 We consider a certain invariantly defined nonlinear system of partial differential equations on a Riemannian manifold. Since a special case describes a steady, irrotional, compressible flow on the manifold, it is natural to refer to the (square of) the pointwise norm of the solution as the speed of the flow and to the density of the flow.
Sibner, L. M., Sibner, R. J.
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Positive solutions for semilinear elliptic systems with sign-changing potentials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the existence of positive solutions of the Dirichlet problem -Δu = λ p(x)f(u; v) ; -Δv = λ q(x)g(u; v); in D, and u = v = 0 on ∂∞D, where D ⊂ Rn (n ≥ 3) is an C1,1-domain with compact boundary and λ > 0. The potential functions p;
Zeddini Noureddine, Ben Dkhil Adel
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A global characteristic of g‐limit operators for quasilinear potential elliptic systems
Mathematical Modelling and Analysis, 2002 The paper considers a family of quasilinear potential elliptic systems and uses the fact that all G‐limit operators for this family can be characterized by means of gradients of convex functions F (locally with respect to the spatial co‐ordinates). It is
U. Raitums
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Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
, 2011 This is the post-print version of the article. The official published version can be accessed from the link below - Copyright @ 2011 ElsevierFor functions from the Sobolev space H^s(\Omega), 1/2 < s < 3/2 , definitions of non-unique generalized and ...
Mikhailov, SE +2 more
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An Elliptic System with Degenerate Coercivity
Rendiconti di Matematica e delle Sue Applicazioni, 2015 Rendiconti di Matematica, 2015 ...
BOCCARDO, Lucio +2 more
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, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE, S. E. Mikhailov
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Canonical System on Elliptic Curves [PDF]
Proceedings of the American Mathematical Society, 1993 We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).
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Electronic Journal of Differential Equations, 2016 We study the existence of positive solutions to 3X3 bi-variate systems of reaction diffusion equations with Dirichlet boundary conditions. In particular, we consider systems where the reaction terms approach -infinity near the origin and satisfy some
Jinglong Ye, Jaffar Ali
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Existence results for a class of (p,q) Laplacian systems
Nonlinear Analysis, 2010 . We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: −∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f in Ω, −∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g in Ω, (u,v) ∈ W01,p ...
G. A. Afrouzi, M. Mirzapour
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