Asymmetric elliptic problems with indefinite weights

M Arias, J Campos, M Cuesta, JP Gossez - … de l'Institut Henri Poincaré C, 2002 - ems.press
We prove the existence of a first nontrivial eigenvalue for an asymmetric elliptic problem with
weights involving the laplacian (cf.(1.2) below) or more generally the p-laplacian (cf.(1.3) …

Half-eigenvalues of periodic Sturm–Liouville problems

PA Binding, BP Rynne - Journal of Differential Equations, 2004 - Elsevier
We consider the nonlinear Sturm–Liouville problem [Formula: see text][Formula: see text]
where 1/p, q∈ L 1 (0, 2π), with p> 0 ae on (0, 2π), a, b∈ L 1 (0, 2π), λ is a real parameter …

Multiplicity results for asymptotically linear equations, using the rotation number approach

F Dalbono, F Zanolin - Mediterranean Journal of Mathematics, 2007 - Springer
By using a topological approach and the relation between rotation numbers and weighted
eigenvalues, we give some multiplicity results for the boundary value problem u′′+ f (t …

The Rotation Number Approach to the Periodic Fuc caron ik Spectrum

M Zhang - Journal of Differential Equations, 2002 - Elsevier
In this paper, we study the Fučik spectrum of the problem:(*) ẍ+(λ++ q+ (t)) x++ (λ−+ q−(t))
x−= 0 with the 2π-periodic boundary condition, where q±(t) are 2π-periodic. After introducing …

A multiplicity result of periodic solutions for parameter dependent asymmetric non-autonomous equations

C Zanini, F Zanolin - 2005 - ricerca.unityfvg.it
A multiplicity result of periodic solutions for parameter dependent asymmetric non-autonomous
equations Logo del repository 1.Home Esportazione Statistica Opzioni Visualizza tutti i metadati …

On the Fučik spectrum with indefinite weights

M Alif, JP Gossez - 2001 - projecteuclid.org
The description of this spectrum Σ is classical and explicit when Lu=− u and there is no
weight; ie, m (t)≡ 1 (cf.[6],[9]). The same general picture for Σ remains valid when L is as …

Non-resonance conditions for semilinear Sturm–Liouville problems with jumping non-linearities

BP Rynne - Journal of Differential Equations, 2001 - Elsevier
We consider the Sturm–Liouville boundary value problem−(p (x) u′(x))′+ q (x) u (x)= f (x, u
(x))+ h (x), x∈(0, π), c00u (0)+ c01u′(0)= 0, c10u (π)+ c11u′(π)= 0, where p∈ C1 ([0, π]) …

Double resonance in Sturm-Liouville planar boundary value problems

A Sfecci - 2020 - projecteuclid.org
We provide some existence results for Sturm-Liouville boundary value problems associated
with the planar differential system Jz'=g(t,z)+r(t,z) where g is suitably controlled by the …

Basis properties of Fučík eigenfunctions for the Neumann Laplacian

F Baustian, V Bobkov - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
We investigate the basis properties of sequences of Fučík eigenfunctions of the one-
dimensional Neumann Laplacian. We show that any such sequence is complete in L 2 (0, π) …

[PDF][PDF] On some problems with nonlocal integral condition

N Sergejeva - Mathematical Modelling and Analysis, 2010 - Taylor & Francis
On Some Problems with Nonlocal Integral Condition Page 1 Mathematical Modelling and
Analysis ISSN 1392-6292 print Volume 15 Number 1, 2010, pages 113–126 ISSN 1648-3510 …