Results 31 to 40 of about 68 (68)

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

open access: yesAdvances in Difference Equations, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas   +2 more
doaj  

Continuity results for parametric nonlinear singular Dirichlet problems

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru   +2 more
doaj   +1 more source

On Bobkov-Tanaka type spectrum for the double-phase operator

open access: yesAdvanced Nonlinear Studies
Moving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
doaj   +1 more source

Three nontrivial solutions for nonlinear fractional Laplacian equations

open access: yesAdvances in Nonlinear Analysis, 2018
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze   +1 more
doaj   +1 more source

Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
doaj   +1 more source

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

open access: yesAnalele 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

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

COMPUTING INTERIOR EIGENVALUES OF NONLINEAR HERMITEAN EIGENVALUE PROBLEMS

open access: yes, 2008
restart AMS subject classification. 65F15, 15A18, 35P30, 49R50, 65N25 Abstract. A nonlinear eigenvalue problem T(λ)x = 0, the eigenvalues of which satisfy a minmax characterization shares many valuable properties of linear Hermitean eigenvalue problems ...
Vera Lochmann   +2 more
core  

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