Results 71 to 80 of about 4,486,095 (208)
Boundary Value Problems, 2019 In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions.
Jichao Wang, Jian Zhang, Yujun Cui
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Sign Changing Solutions for Coupled Critical Elliptic Equations
Journal of Function Spaces, 2020 In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
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On elliptic systems with Sobolev critical exponent
Discrete and Continuous Dynamical Systems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
, 2004 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
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Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
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A note on problems involving critical Sobolev exponents
Differential and Integral Equations, 1995 Existence of a nontrivial solution of the semilinear elliptic equation \(- \Delta u= | u|^{p-2} u+ f(x,u)\) in \(G\), \(u=0\) on \(\partial G\) is shown in this paper. Here \(G\) denotes a smooth bounded domain in \(\mathbb{R}^ N\) \((N\geq 4)\), \(p-1= (N+2)/ (N-2)\) (the so-called critical Sobolev exponent) and \(f(x,u)= \lambda u+ g(x,u)\) is ...
Costa, D. G., Silva, E. A.
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Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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Electronic Journal of Qualitative Theory of Differential EquationsWe consider the following Kirchhoff equation with critical Sobolev exponent \begin{equation}\label{eq0} \begin{cases} \left(a+b\displaystyle\int_{\mathbb{R}^{N}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right)(-\Delta)^{s}u=|u|^{2^{*}_{s}-2}u+\mu g(x), \quad ...
Juhua He, Sijian You
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Existence results for elliptic systems involving critical Sobolev exponents
Electronic Journal of Differential Equations, 2004 n this paper, we study the existence and nonexistence of positive solutions of an elliptic system involving critical Sobolev exponent perturbed by a weakly coupled term.
Mohammed Bouchekif, Yasmina Nasri
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