Results 61 to 70 of about 455 (85)

Stability of eigenvalues for variable exponent problems

, 2015
In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.Comment: 10 ...
Colasuonno, Francesca, Squassina, Marco
core   +1 more source

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

Existence results for double-phase problems via Morse theory

, 2016
We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.Comment: 11 ...
Perera, Kanishka, Squassina, Marco
core   +1 more source

Weyl-type laws for fractional p-eigenvalue problems

, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

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

Pucci eigenvalues on geodesic balls

, 2016
We study the eigenvalue problem for the Riemannian Pucci operator on geodesic balls. We establish upper and lower bounds for the principal Pucci eigenvalues depending on the curvature, extending Cheng's eigenvalue comparison theorem for the Laplace ...
Ariturk, Sinan
core   +1 more source

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

, 2017
Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core   +1 more source

Increased mortality risk for adults aged 25-44 years with long-term disability: A prospective cohort study with a 35-year follow-up of 30,080 individuals from 1984-2019 in the population-based HUNT study. [PDF]

Lancet Reg Health Eur, 2022
Langballe EM, Tangen GG, Engdahl B, Strand BH.   +3 more
europepmc   +1 more source

On an eigenvalue problem associated with the (p, q) − Laplacian

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let Ω ⊂ ℝN, N ≥ 2, be a bounded domain with smooth boundary ∂Ω. Consider the following generalized Robin-Steklov eigenvalue problem associated with the operator 𝒜u = − Δpu − Δqu {𝒜u+ρ1(x)|u|p-2u+ρ2(x)|u|q-2u=λα(x)|u|r-2u,   x∈Ω,∂u∂vA+γ1(x)|u|p-2u+γ2(x)|u|
Barbu Luminiţa, Burlacu Andreea, Moroşanu Gheorghe   +2 more
doaj   +1 more source