Results 71 to 80 of about 1,664 (104)

Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity

Advanced Nonlinear Studies, 2023
We consider the asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by Bao et al. [Monge-Ampère equation on exterior domains, Calc. Var PDE.
Liu Zixiao, Bao Jiguang
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Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods

, 2011
This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extension $Q_1^{\rm rot}$, we get the lower bound of the ...
C. Yao, F. Chatelin, FuSheng Luo, G. Stang, H. P. Liu, H. P. Liu, HeHu Xie, I. Babuška, I. Babuška, J. C. Xu, J. Hu, K. Feng, M. Armentano, P. Ciarlet, Q. Lin, Q. Lin, Q. Lin, Q. Lin, Qun Lin, R. Rannacher, Y. A. Li, Y. A. Li, Y. D. Yang, Y. D. Yang, Y. D. Yang, Z. M. Zhang   +25 more
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On Bobkov-Tanaka type spectrum for the double-phase operator

Advanced Nonlinear Studies
Moving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
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Symmetries, Hopf fibrations and supercritical elliptic problems

, 2015
We consider the semilinear elliptic boundary value problem \[ -\Delta u=\left\vert u\right\vert ^{p-2}u\text{ in }\Omega,\text{\quad }u=0\text{ on }\partial\Omega, \] in a bounded smooth domain $\Omega$ of $\mathbb{R}^{N}$ for supercritical exponents $p>\
Clapp, Mónica, Pistoia, Angela
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Talenti comparison results and rigidity results for anisotropic p-Laplacian operator with Robin boundary conditions

Advanced Nonlinear Studies
In this paper, we first establish the Talenti comparison principle for anisotropic p-Laplacian equation with Robin boundary conditions. This achievement not only extends classical Talenti comparison result for Laplacian equation with Robin boundary ...
Chen Lu, Yang Yabo
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Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains

, 2001
We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.Comment: 15 pages, LaTeX (published ...
Finster, Felix, Schnuerer, Oliver C.
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Diffusive logistic equations with harvesting and heterogeneity under strong growth rate

Advances in Nonlinear Analysis, 2017
We consider the ...
Shabani Rokn-e-vafa Saeed, Tehrani Hossein T.   +1 more
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
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Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

Open Mathematics, 2017
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…,
Gorban Yuliya
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On the first Dirichlet Laplacian eigenvalue of regular Polygons

, 2014
The Faber-Krahn inequality in $\mathbb{R}^2$ states that among all open bounded sets of given area the disk minimizes the first Dirichlet Laplacian eigenvalue.
Nitsch, Carlo
core   +1 more source