Results 11 to 20 of about 369 (47)
Advances in Nonlinear Analysis, 2021 We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
doaj +1 more source
Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence
Advances in Differential Equations, 2010 This paper is devoted to the analysis of the asymptotic behaviour when the parameter λ goes to +∞ for operators of the form −∆+λa or more generally, cooperative systems operators of the form (−∆+λa −b −c −∆+λd ) where the potentials a and d vanish in ...
P. Álvarez-Caudevilla, A. Lemenant
semanticscholar +1 more source
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics [PDF]
, 2011 We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is ...
Bozhkov, Yuri, Olver, Peter J.
core +3 more sources
Regularizing effect for some p-Laplacian systems [PDF]
, 2019 We study existence and regularity of weak solutions for the following $p$-Laplacian system \begin{cases} -\Delta_p u+A\varphi^{\theta+1}|u|^{r-2}u=f, \ &u\in W_0^{1,p}(\Omega),\\-\Delta_p \varphi=|u|^r\varphi^\theta, \ &\varphi\in W_0^{1,p}(\Omega), \end{
Durastanti, Riccardo
core +2 more sources
Critical elliptic systems involving multiple strongly–coupled Hardy–type terms
Advances in Nonlinear Analysis, 2019 In this paper, we study the radially–symmetric and strictly–decreasing solutions to a system of critical elliptic equations in RN, which involves multiple critical nonlinearities and strongly–coupled Hardy– type terms.
Kang Dongsheng, Liu Mengru, Xu Liangshun
doaj +1 more source
$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension [PDF]
, 2010 The Dirichlet boundary value problem for the Stokes operator with $L^p$ data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered.
Dindoš, Martin, Maz'ya, Vladimir
core +2 more sources
Coercive elliptic systems with gradient terms
Advances in Nonlinear Analysis, 2017 In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
doaj +1 more source
A Priori Bounds And Existence Of Positive Solutions For Semilinear Elliptic Systems [PDF]
, 2017 We provide a-priori L∞ bounds for classical positive solutions of semilinear elliptic systems in bounded convex domains when the nonlinearities are below the power functions v^p and u^q for any (p,q) lying on the critical Sobolev hyperbola.
Mavinga, Nsoki, Pardo, R.
core +2 more sources
Analysis of an elliptic system with infinitely many solutions
Advances in Nonlinear Analysis, 2017 We consider the elliptic system Δu=upvq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δv=urvs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂u/∂η=λu${{\partial u/\partial\eta}=\lambda u}$, ∂
Cortázar Carmen +2 more
doaj +1 more source
On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS
Advanced Nonlinear Studies, 2018 In this paper we analyze the Lane–Emden ...
do Ó João Marcos, Clemente Rodrigo
doaj +1 more source