Results 41 to 50 of about 1,211,113 (146)
On some problems with nonlocal integral condition
Mathematical Modelling and Analysis, 2010 We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
doaj +1 more source
Periodic solutions of nonlinear vibrating beams
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003 The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
wiley +1 more source
Sign‐changing and multiple solutions for the p‐Laplacian
Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002 We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
wiley +1 more source
Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Problem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$,
Aboubacar Marcos
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On an asymptotically linear elliptic Dirichlet problem
Abstract and Applied Analysis, Volume 7, Issue 10, Page 509-516, 2002., 2002 Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Zhitao Zhang +3 more
wiley +1 more source
On Solvability of the Damped Fučík Type Problem with Integral Condition
Mathematical Modelling and Analysis, 2014 The solvability results are established for the boundary value problem with a damping term , x(0) = 0, where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity, µ, λ real parameters.
Natalija Sergejeva
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Selector for the Spectrum Award 2018
, 2018 Billingham was invited to be part of the selection panel for the first Spectrum Award in 2018 alongside Mark Wallinger, Charming Baker, Professor Simon Baron-Cohen, Sacha Craddock and Mary Simpson.
Billingham, Richard, Spectrum
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Sign‐Changing Solutions to Equations of Elliptic Type
, 2010 International Journal of Differential Equations, Volume 2010, Issue 1, 2010.
Wenming Zou +4 more
wiley +1 more source
UN EJEMPLO DEL ESPECTRO DE FUCIK [PDF]
, 2014 En el presente trabajo presentamos el Espectro de Fucik del operador Laplaciano -∆ bajo condiciones de frontera tipo Dirichlei sobre un dominio Ω regular acotado en Rn, se demuestra el comportamiento asintótico de la primera curva contenida en él y se ...
Santiago César Rojas Romero
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The Beginning of the Fučik Spectrum for the p-Laplacian
Journal of Differential Equations, 1999 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^N\), \(N\geq 1\) and let \(p\) be a real number greater than \(1\). The Fučik spectrum of the \(p\)-Laplacian \(\Delta_p=\operatorname {div}(|\nabla u|^{p-2}\nabla u)\) on \(W^{1,p}_0(\Omega)\) is defined as the set \(\Sigma_p\) of pairs \((\alpha,\beta)\in \mathbb{R}^2\) such that the Dirichlet ...
Gossez, Jean-Pierre +2 more
openaire +3 more sources