Results 21 to 30 of about 1,349 (111)
In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene+2 more
doaj +1 more source
Approximate nonradial solutions for the Lane-Emden problem in the ball
In this paper we provide a numerical approximation of bifurcation branches from nodal radial solutions of the Lane Emden Dirichlet problem in the unit ball in ℝ2, as the exponent of the nonlinearity varies.
Fazekas Borbála+2 more
doaj +1 more source
Three solutions for equations involving nonhomogeneous operators of p-Laplace type in RN
In this paper, we are concerned with the following elliptic equation −div(φ(x,∇u))=λf(x,u)in RN, where the function φ(x,v) is of type |v|p−2v and f:RN×R→R satisfies a Carathéodory condition.
Eun Bee Choi, Yun-Ho Kim
semanticscholar +2 more sources
Background – Pruritus is the hallmark clinical sign of atopic dermatitis (AD) in dogs. Lokivetmab, a caninized anti‐canine IL‐31 monoclonal antibody, reduced pruritus and associated inflammatory skin lesions in a proof of concept study in dogs with AD.
Gina M. Michels+7 more
wiley +1 more source
On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data
We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the ...
Smarrazzo Flavia
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In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El+2 more
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The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem
We first get an existence and uniqueness result for a nonlinear eigenvalue problem. Then, we establish the constant rank theorem for the problem and use it to get a convexity property of the solution.
Jiuzhou Huang
semanticscholar +1 more source
HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS
We study the system of Maxwell equations for a periodic composite dielectric medium with components whose dielectric permittivities have a high degree of contrast between each other. We assume that the ratio between the permittivities of the components with low and high values of is of the order , where is the period of the medium.
Kirill Cherednichenko, Shane Cooper
wiley +1 more source
On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation
In this paper we consider spaces of weight square-integrable and harmonic functions L2H(Ω, µ). Weights µ for which there exists reproducing kernel of L2H(Ω, µ) are named ’admissible weights’ and such kernels are named ’harmonic Bergman kernels’. We prove
Żynda Tomasz Łukasz
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We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x) = λg(x)u(x), x ∈ BR(0); u(x) = 0, |x| = R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.
Ghasem Alizadeh Afrouzi
wiley +1 more source