Results 91 to 100 of about 406 (185)

Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2023
Bachmann L   +3 more
europepmc   +1 more source

Concentration Phenomena in a Biharmonic Equation Involving the Critical Sobolev Exponent

open access: yesAdvanced Nonlinear Studies, 2006
Abstract In this paper, we consider the problem Δ 2 u = |u| 8/(n-4) u + εf(x, u) in Ω, u = Δu = 0 on ∂Ω, where Ω is a bounded and smooth domain in ℝ
openaire   +1 more source

Spatial-temporal correlations in the speckle pattern for the characterization of cellular motion within a 3D object. [PDF]

open access: yesBiomed Opt Express, 2023
Weil Y   +6 more
europepmc   +1 more source

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
doaj  

Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
doaj  

An existence result for elliptic problems with singular critical growth

open access: yesElectronic Journal of Differential Equations, 2007
We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions.
Yasmina Nasri
doaj  

Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
doaj  

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