Results 51 to 60 of about 410 (80)

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

The first nontrivial eigenvalue for a system of $p-$Laplacians with Neumann and Dirichlet boundary conditions

open access: yes, 2015
We deal with the first eigenvalue for a system of two $p-$Laplacians with Dirichlet and Neumann boundary conditions. If $\Delta_{p}w=\mbox{div}(|\nabla w|^{p-2}w)$ stands for the $p-$Laplacian and $\frac{\alpha}{p}+\frac{\beta}{q}=1,$ we consider ...
Del Pezzo, Leandro M., Rossi, Julio D.
core   +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

A note on the implicit function theorem for quasi-linear eigenvalue problems

open access: yes, 2011
We consider the quasi-linear eigenvalue problem $-\Delta_p u = \lambda g(u)$ subject to Dirichlet boundary conditions on a bounded open set $\Omega$, where $g$ is a locally Lipschitz continuous functions. Imposing no further conditions on $\Omega$ or $g$
Abreu   +25 more
core   +1 more source

Double phase problems with variable growth

open access: yes, 2018
We consider a class of double phase variational integrals driven by nonhomogeneous potentials. We study the associated Euler equation and we highlight the existence of two different Rayleigh quotients. One of them is in relationship with the existence of
Cencelj, Matija   +2 more
core   +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

Use of Sine Shaped High-Frequency Rhythmic Visual Stimuli Patterns for SSVEP Response Analysis and Fatigue Rate Evaluation in Normal Subjects. [PDF]

open access: yesFront Hum Neurosci, 2018
Keihani A   +7 more
europepmc   +1 more source

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