Nonlinear elastic beam problems with the parameter near resonance
Sign Up to like & getrecommendations! Published in 2018 at "Open Mathematics"
DOI: 10.1515/math-2018-0097
Abstract: Abstract In this paper, we consider the nonlinear fourth order boundary value problem of the form u(4)(x)−λu(x)=f(x,u(x))−h(x),x∈(0,1),u(0)=u(1)=u′(0)=u′(1)=0,$$ \begin{array}\text \left\{ \begin{aligned} &u^{(4)}(x)-\lambda u(x)=f(x, u(x))-h(x), \ \ x\in (0,1),\\ &u(0)=u(1)=u'(0)=u'(1)=0,\\ \end{aligned}\right. \end{array} $$ which models a statically… read more here.
Keywords: parameter near; problems parameter; beam problems; nonlinear elastic ... See more keywords
Uniqueness for a class p-Laplacian problems when a parameter is large
Sign Up to like & getrecommendations! Published in 2024 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2024.44.1.5
Abstract: We prove uniqueness of positive solutions for the problem \[-\Delta_{p}u=\lambda f(u)\text{ in }\Omega,\ u=0\text{ on }\partial \Omega,\] where \(1\lt p\lt 2\) and \(p\) is close to 2, \(\Omega\) is bounded domain in \(\mathbb{R}^{n}\) with smooth… read more here.
Keywords: parameter large; problems parameter; laplacian problems; class laplacian ... See more keywords