Results 51 to 60 of about 429 (89)

Multiple solutions for eigenvalue problems involving an indefinite potential and with (p1(x), p2(x)) balanced growth

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we are concerned with the study of the spectrum for a class of eigenvalue problems driven by two non-homogeneous differential operators with different variable growth and an indefinite potential in the following ...
Uţă Vasile-Florin
doaj   +1 more source

Shape derivative of the first eigenvalue of the 1-Laplacian [PDF]

arXiv, 2007
We compute the shape derivative of the first eigenvalue of the 1-Laplacian. As an application, we find that a ball is critical among all volume-preserving deformations.
arxiv  

Fractional p-eigenvalues [PDF]

arXiv, 2013
We discuss some basic properties of the eigenfunctions of a class of nonlocal operators whose model is the fractional p-Laplacian.
arxiv  

Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields

, 2010
Based on the properties of vector fields and the generalized divergence formula, we prove the Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields and determine the best constants in these Hardy inequalities ...
Jingbo Dou, Qianqiao Guo, P. Niu
semanticscholar   +1 more source

On sign-changing solutions for (p,q)-Laplace equations with two parameters

Advances in Nonlinear Analysis, 2016
We investigate the existence of nodal (sign-changing) solutions to the Dirichlet problem for a two-parametric family of partially homogeneous (p,q){(p,q)}-Laplace equations -Δp⁢u-Δq⁢u=α⁢|u|p-2⁢u+β⁢|u|q-2⁢u{-\Delta_{p}u-\Delta_{q}u=\alpha\lvert u\rvert^{p-
Bobkov Vladimir, Tanaka Mieko
doaj   +1 more source

The p-Laplacian with respect to measures [PDF]

arXiv, 2011
We introduce a definition for the $p$-Laplace operator on positive and finite Borel measures that satisfy an Adams-type embedding condition.
arxiv  

Computing the first eigenpair for problems with variable exponents [PDF]

arXiv, 2013
We compute the first eigenpair for variable exponent eigenvalue problems. We compare the homogeneous definition of first eigenvalue with previous nonhomogeneous notions in the literature.
arxiv  

Weyl-type laws for fractional p-eigenvalue problems [PDF]

arXiv, 2013
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.
arxiv  

On Local Convexity of Quadratic Transformations [PDF]

Journal of Operations Research Society of China, 2:341-350 2014, 2014
In this paper, we improve Polyak's local convexity result for quadratic transformations. Extension and open problems are also presented.
arxiv  

Nonautonomous fractional problems with exponential growth [PDF]

arXiv, 2014
We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity. The involved potential can vanish at infinity.
arxiv