Results 71 to 80 of about 502 (154)
A unique continuation property for linear elliptic systems and nonresonance problems
Electronic Journal of Differential Equations, 2001 The aim of this paper is to study the existence of solutions for a quasilinear elliptic system where the nonlinear term is a Caratheodory function on a bounded domain of $mathbb{R}^N$, by proving the well known unique continuation property for elliptic ...
A. Anane +3 more
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Small Science, Volume 5, Issue 10, October 2025.A microfluidic assay to study actin‐driven shape changes of giant unilamellar vesicles (GUVs) is developed. This system enables high‐throughput analysis of membrane remodeling and reveals how actin networks and lipid domains influence each other. It offers a powerful tool to dissect membrane deformation mechanisms in controlled environments. Cell shape
Lixin Huang +9 more
wiley +1 more source
, 2012 In this paper, by using the Lusternik–Schnirelmann category, we obtain a multiplicity result for a quasilinear elliptic system with both concave and convex nonlinearities and critical growth terms in bounded ...
Benmouloud, Samira +5 more
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Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi +3 more
wiley +1 more source
Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems [PDF]
Boundary Value Problems, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanishka Perera, Said El Manouni
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Partial regularity for quasilinear nonuniformly elliptic systems
Le Matematiche, 1991 We prove the partial regularity of the weak solutions of the quasilinear nonuniformely elliptic system div(A(∇u))=0 under an ellipticity condition which lies between strong ellipticity and Legendre-Hadamard condition.
Michele Frasca, Alexandre V. Ivanov
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Journal of Geophysical Research: Space Physics, Volume 130, Issue 8, August 2025.Abstract Multi‐spacecraft data demonstrate that intense chorus waves are excited during electron injection events that drive rapid radiation belt electron loss across a limited energy range from ∼ ${\sim} $100 to 300 keV on sub‐drift timescales through strong pitch angle diffusion.
S. Chakraborty +7 more
wiley +1 more source
Existence of Ground States for Quasilinear Nonhomogeneous Elliptic Systems
Journal of Mathematical Analysis and Applications, 2000 The authors prove the existence of positive radial solutions (decaying to zero as \(|x|\to\infty\)) of the quasilinear system \(-\text{div} (A_i(|\nabla u_i|)\nabla u_i)=\sum_j a_{ij}(|x|)f_{ij}(u_j)\), \(x\in\mathbb R^N\), \(N>1\), \(i=1,2,\dots,n\). The functions \(A_i,a_{ij},f_{ij}\) are continuous, \(A_i>0\), \(a_{ij}\geq 0\), \(f_{ij}(0)=0\), \(f_{
Garcia Huidobro, M, Manasevich, R
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Optimal control of nonsmooth system governed by quasi-linear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.
Gong Liutang, Fei Pusheng
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Existence of a local strong solution to the beam–polymeric fluid interaction system
Mathematische Nachrichten, Volume 298, Issue 7, Page 2327-2379, July 2025.Abstract We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner‐type for an incompressible polymer fluid (described by the Navier–Stokes–Fokker–Planck equations) interacting with a flexible elastic shell.
Dominic Breit, Prince Romeo Mensah
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