Results 31 to 40 of about 413 (75)

On the symmetry of minimizers in constrained quasi-linear problems [PDF]

, 2010
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
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On the uniqueness for weak solutions of steady double-phase fluids

Advances in Nonlinear Analysis, 2021
We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 
Abdelwahed Mohamed, Berselli Luigi C., Chorfi Nejmeddine   +2 more
doaj   +1 more source

Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

, 2013
In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert, Pietschmann, Jan-Frederik, Schlottbom, Matthias   +2 more
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Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

, 2013
In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad u \in H^1_0(\Omega) \cap L^{\infty}(\Omega), \end{array} \end{equation ...
Arcoya, David, De Coster, Colette, Jeanjean, Louis, Tanaka, Kazunaga   +3 more
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Asymptotic and optimal Liouville properties for Wolff type integral systems [PDF]

, 2016
This article examines the properties of positive solutions to fully nonlinear systems of integral equations involving Hardy and Wolff potentials. The first part of the paper establishes an optimal existence result and a Liouville type theorem for the ...
Caffarelli, Caffarelli, Caristi, Chen, Chen, Chen, Chen, Chen, Cheng, Dou, Dávila, D’Ambrosio, Gidas, Gidas, Hénon, John Villavert, Kilpeläinen, Lei, Lei, Lei, Lei, Li, Lieb, Lu, Mitidieri, Mitidieri, Phan, Phuc, Poláčik, Serrin, Souplet, Sun, Villavert, Villavert, Villavert, Villavert, Yang   +36 more
core   +3 more sources

Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

Advances in Nonlinear Analysis, 2023
In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
doaj   +1 more source

Duality methods for a class of quasilinear systems

, 2013
Duality methods are used to generate explicit solutions to nonlinear Hodge systems, demonstrate the well-posedness of boundary value problems, and reveal, via the Hodge-B\"acklund transformation, underlying symmetries among superficially different forms ...
Agarwal, Albujer, Alías, Antonella Marini, Edelen, Iwaniec, Lee, Magnanini, Magnanini, Marini, Marini, Milani, Morrey, Otway, Otway, Otway, Schwarz, Sibner, Sibner, Sibner, Thomas H. Otway, Yang   +21 more
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Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data

Nonautonomous Dynamical Systems, 2022
In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type {Au+g(x,u,∇u)=μ−div φ(u)in Ω,u=0on  ∂Ω,\left\{ {\matrix{{Au + g\left( {x,u,\nabla u} \right) = \mu - div\,\phi \left( u \right)} \hfill &
Al-Hawmi Mohammed, Hjiaj Hassane
doaj   +1 more source

Well-posedness and stationary solutions [PDF]

, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
core  

Existence and Regularity for Solution to a Degenerate Problem with Singular Gradient Lower Order Term

Moroccan Journal of Pure and Applied Analysis, 2022
We study the existence and regularity results for non-linear elliptic equation with degenerate coercivity and a singular gradient lower order term. The model problems is {-div(b(x)|∇u|p-2∇u(1+|u|)γ)+|∇u|p|u|θ=f,in Ω,u=0,on ∂Ω,\left\{ {\matrix{ { - div ...
Khelifi Hichem
doaj   +1 more source