Results 21 to 30 of about 705 (84)
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 279-283, 2002., 2002 We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x) = λg(x)u(x), x ∈ BR(0); u(x) = 0, |x| = R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.
Ghasem Alizadeh Afrouzi
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On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data
Advanced Nonlinear Studies, 2018 We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the ...
Smarrazzo Flavia
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On a class of critical elliptic systems in ℝ4
Advances in Nonlinear Analysis, 2020 In the present paper, we consider the following classes of elliptic systems with Sobolev critical growth:
Zhao Xin, Zou Wenming
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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
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Advanced Nonlinear Studies, 2021 In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
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Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian [PDF]
, 2014 In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-
Filippas, Stathis +2 more
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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
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Advanced Nonlinear Studies, 2021 We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
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Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators [PDF]
, 2004 For any fixed $p>2$, a necessary and sufficient condition is obtained for the boundedness of the Riesz transforms associated with second order elliptic operators with real, symmetric, bounded measurable coefficients.Comment: To appear in Annales de L ...
Shen, Zhongwei
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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
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