Results 31 to 40 of about 53 (53)

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

open access: yesAdvances 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

A covering approach to eigenvalue bounds for the fractional p-Laplacian

open access: yesDemonstratio Mathematica
We study Weyl-type lower bounds for the variational eigenvalues associated with a weighted fractional p-Laplacian on bounded domains with Lipschitz boundary in a critical (limit) case.
Hasanov Mahir
doaj   +1 more source

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

open access: yesAnalele 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   +2 more
doaj   +1 more source
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