Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]
Bachmann L +3 more
europepmc +1 more source
Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Mawhin J +2 more
europepmc +1 more source
Concentration Phenomena in a Biharmonic Equation Involving the Critical Sobolev Exponent
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]
Weil Y +6 more
europepmc +1 more source
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
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]
Deng Y, Zillinger C.
europepmc +1 more source
Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
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
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Kehle C, Ramos JPG.
europepmc +1 more source
An existence result for elliptic problems with singular critical growth
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
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

