SPECTRAL PROPERTIES AND NODAL SOLUTIONS FOR SECOND-ORDER, m-POINT, p-LAPLACIAN BOUNDARY VALUE PROBLEMS
نویسندگان
چکیده
We consider the m-point boundary value problem consisting of the equation −φp(u) = f(u), on (0, 1), (1) together with the boundary conditions u(0) = 0, u(1) = m−2 X
منابع مشابه
SPECTRAL PROPERTIES AND NODAL SOLUTIONS FOR SECOND-ORDER, m-POINT, BOUNDARY VALUE PROBLEMS
We consider the m-point boundary value problem consisting of the equation −u′′ = f(u), on (0, 1), where f : R → R is C1, with f(0) = 0, together with the boundary conditions u(0) = 0, u(1) = m−2 X
متن کاملGlobal Properties and Multiple Solutions for Boundary-value Problems of Impulsive Differential Equations
This article presents global properties and existence of multiple solutions for a class of boundary value problems of impulsive differential equations. We first show that the spectral properties of the linearization of these problems are similar to the well-know properties of the standard SturmLiouville problems. These spectral properties are then used to prove two Rabinowitz-type global bifurc...
متن کاملA Topological Approach to Superlinear Indefinite Boundary Value Problems
We obtain the existence of infinitely many solutions with prescribed nodal properties for some boundary value problems associated to the second order scalar equation ẍ+ q(t)g(x) = 0, where g(x) has superlinear growth at infinity and q(t) changes sign.
متن کاملRemarks on the boundary set of spectral equipartitions.
Given a bounded open set in R2 (or in a Riemannian manifold), and a partition of Ω by k open sets ωj, we consider the quantity maxj λ(ωj), where λ(ωj) is the ground state energy of the Dirichlet realization of the Laplacian in ωj. We denote by Lk(Ω) the infimum of maxj λ(ω) over all k-partitions. A minimal k-partition is a partition that realizes the infimum. Although the analysis of minimal k-...
متن کاملGlobal Bifurcation in Generic Systems of Nonlinear Sturm-liouville Problems
We consider the system of coupled nonlinear Sturm-Liouville boundary value problems L1u := −(p1u′)′ + q1u = μu + uf(·, u, v), in (0, 1), a10u(0) + b10u′(0) = 0, a11u(1) + b11u′(1) = 0, L2v := −(p2v′)′ + q2v = νv + vg(·, u, v), in (0, 1), a20v(0) + b20v′(0) = 0, a21v(1) + b21v′(1) = 0, where μ, ν are real spectral parameters. It will be shown that if the functions f and g are ‘generic’ then for ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008