Results 71 to 80 of about 811 (206)
The first eigenvalue of
Boundary Value Problems, 2005 We study the properties of the positive principal eigenvalue and the corresponding eigenspaces of two quasilinear elliptic systems under nonlinear boundary conditions.
Magiropoulos M +2 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
On the existence of weak solutions for p,q-laplacian systems with weights
Electronic Journal of Differential Equations, 2008 This paper studies degenerate quasilinear elliptic systems involving p,q-superlinear and critical nonlinearities with singularities. Existence results are obtained by using properties of the best Hardy-Sobolev constant together with an approach ...
Rodrigo S. Rodrigues +1 more
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Multiplicity of Solutions to a Potential Operator Equation and Its Applications
Abstract and Applied Analysis, 2014 We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions.
Jincheng Huang
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Existence results for a class of (p,q) Laplacian systems
Nonlinear Analysis, 2010 . We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: −∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f in Ω, −∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g in Ω, (u,v) ∈ W01,p ...
G. A. Afrouzi, M. Mirzapour
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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
openaire +4 more sources
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
Bounded and large radially symmetric solutions for some (p,q)-Laplacian stationary systems
Electronic Journal of Differential Equations, 2012 This article concerns radially symmetric positive solutions of second-order quasilinear elliptic systems. In terms of the growth of the variable potential functions, we establish conditions such that the solutions are either bounded or blow up at ...
Adel Ben Dkhil, Noureddine Zeddini
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Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
Abstract and Applied Analysis, 2013 We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under natural growth condition with super quadratic growth and obtain a general criterion for a weak solution to be regular in the neighborhood of a given ...
Shuhong Chen, Zhong Tan
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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
wiley +1 more source