Results 31 to 40 of about 1,349 (111)
Advances in Nonlinear Analysis, 2014 We address the regularity of solutions to elliptic and parabolic equations of the form -Δu+b·∇u=0${- \Delta u+b\cdot \nabla u=0}$ and ut-Δu+b·∇u=0${u_t- \Delta u+b\cdot \nabla u=0}$ with divergence-free drifts b.
Ignatova Mihaela
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 25-29, 2002., 2002 We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x) = λg(x)u(x), x ∈ D; (∂u/∂n)(x) + αu(x) = 0, x ∈ ∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth boundary, g : D → ℝ is a smooth function which changes sign on D and α ∈ ℝ.
G. A. Afrouzi
wiley +1 more source
Continuous and Lp estimates for the complex Monge‐Ampère equation on bounded domains in ℂn
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 705-707, 2002., 2002 Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge‐Ampère equation on bounded domains, without requiring any smoothness of the domains.
Patrick W. Darko
wiley +1 more source
Advances in Nonlinear Analysis, 2021 We study positive solutions to the steady state reaction diffusion equation of the form:
Acharya A. +3 more
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Strong unique continuation of eigenfunctions for p‐Laplacian operator
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 213-216, 2001., 2001 We show the strong unique continuation property of the eigenfunctions for p‐Laplacian operator in the case p < N.
Islam Eddine Hadi, N. Tsouli
wiley +1 more source
Existence of four solutions for the elliptic problem with nonlinearity crossing one eigenvalue
Journal of Inequalities and Applications, 2013 We investigate the multiplicity of the weak solutions for the nonlinear elliptic boundary value problem. We get a theorem which shows the existence of at least four weak solutions for the asymptotically linear elliptic problem with Dirichlet boundary ...
Tacksun Jung, Q. Choi
semanticscholar +2 more sources
Locality properties of standard homogenization commutator [PDF]
arXiv, 2021 In the present work we study how the standard homogenization commutator, a random field that plays a central role in the theory of fluctuations, quantitatively decorrelates on large scales.
arxiv
Strong unique continuation for general elliptic equations in 2D [PDF]
J. Math. Anal. App. 386 (2012) 669--676, 2010 We prove that solutions to elliptic equations in two variables in divergence form, possibly non-selfadjoint and with lower order terms, satisfy the strong unique continuation property.
arxiv +1 more source
A duality theorem for solutions of elliptic equations
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 73-85, 1990., 1990 Let L be a second order linear partial differential operator of elliptic type on a domain Ω of ℝm with coefficients in C∞(Ω). We consider the linear space of all solutions of the equation Lu = 0 on Ω with the topology of uniform convergence on compact subsets and describe the topological dual of this space. It turns out that this dual may be identified
Pierre Blanchet
wiley +1 more source
Regularity properties of optimal transportation problems arising in hedonic pricing models [PDF]
, 2011 We study a form of optimal transportation surplus functions which arise in hedonic pricing models. We derive a formula for the Ma-Trudinger-Wang curvature of these functions, yielding necessary and sufficient conditions for them to satisfy (A3w).
Brendan Pass
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