Advances in Nonlinear Analysis, 2014 Given a bounded open regular set Ω of ℝ2$\mathbb {R}^2$, q1,...,qK∈Ω${q_1, \ldots , q_K \hspace*{-0.85358pt}\in \hspace*{-0.85358pt} \Omega }$, a regular bounded function ϱ:Ω→[0,+∞)${\varrho \hspace*{-0.56905pt}:\hspace*{-0.56905pt} \Omega \hspace*{-0 ...
Baraket Sami, Ouni Taieb
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FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER [PDF]
, 2017 For a large class of subsets $\varOmega\subset\mathbb{R}^{N}$ (including unbounded domains), we discuss the Fredholm and properness properties of second-order quasilinear elliptic operators viewed as mappings from $W^{2,p}(\varOmega;\mathbb{R}^{m})$ to ...
Gebran, Hicham G., Stuart, Charles A.
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Connections between coupling and Ishii-Lions methods for tug-of-war with noise stochastic games
Advances in Nonlinear AnalysisWe present a streamlined account of two different regularity methods as well as their connections. We consider the coupling method in the context of tug-of-war with noise stochastic games, and consider viscosity solutions of the p-Laplace equation in the
Anttila Riku +2 more
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Variational formulations of steady rotational equatorial waves
Advances in Nonlinear Analysis, 2020 When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the f-plane approximation, and show that the governing equations for this motion can be obtained by studying ...
Chu Jifeng, Escher Joachim
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Classification of the Solutions of Semilinear Elliptic Problems in a Ball [PDF]
, 2000 In this paper we fully describe the set of the positive and nodal (regular and singular) radial solutions of the superlinear elliptic P.D.E. \Gamma\Deltau = u + juj p\Gamma1 u in B 1 ; u = 0 on @B 1 ; p ? 1 ; (1) without restriction on the range of 2
Dolbeault, Jean +6 more
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Multiplicity for a nonlinear fourth order elliptic equation in Maxwell-Chern-Simons vortex theory
, 2003 We prove the existence of at least two solutions for a fourth order equation, which includes the vortex equations for the U(1) and CP (1) self-dual Maxwell-Chern-Simons models as special cases.
RICCIARDI, TONIA, Tonia Ricciardi
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Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations [PDF]
, 1998 . We study the radial symmetry and asymptotic behavior at x = 1 of positive solutions of \Deltau = '(jxj)u ; x 2 IR n and jxj large () where ? 1 and '(r) is positive and continuous for r large.
Taliaferro, Steven D. +1 more
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Solutions of nonlinear problems involving p(x)-Laplacian operator
Advances in Nonlinear Analysis, 2015 In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
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A p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-Like Operators With Dirichlet Boundary Condition [PDF]
This paper deals with a class of p(x)-Kirchhoff type problems involving the p(x)-Laplacian-like operators, arising from the capillarity phenomena, depending on two real parameters with Dirichlet boundary conditions. Using a topological degree for a class
ALLALOU, Chakir +3 more
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Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length [PDF]
, 2013 Near a charged surface, counterions of different valences and sizes cluster; and their concentration profiles stratify. At a distance from such a surface larger than the Debye length, the electric field is screened by counterions.
Li, Bo +7 more
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