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Infinitely Many Solutions for Kirchhoff-Type Equations Involving Degenerate Operator
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, J., Li, L., Chen, Sh.
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Infinitely many solutions for double hamonic perturbed problem
Applied Mathematics and Mechanics, 1995The author proves the existence of infinitely many nontrivial solutions of the problem \[ \Delta^2 u- a\Delta u+ bu= g(x, u)+ f(x, u)\text{ in }\Omega,\;u= \partial u/\partial n= 0\text{ on }\partial\Omega, \] under several growth conditions on \(g\) and \(f\), for \(a\geq 0\), \(b\geq 0\).
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Infinitely Many Solutions of Nonlinear Elliptic Systems
1999In this paper we study elliptic systems of the form $$ \left\{ {_{\Delta _v = H_{u(x,u,v)in\Omega } }^{ - \Delta _u = H_v (x,u,v)in\Omega } } \right. $$ (1.1) where Ω ⊂ ℝ N , N > 3, is a smooth bounded domain and H: Ω ℝ ℝ → ℝ C 1-function. We shall also consider the case when Ω = ℝ N and in this case the system takes the form $$ \left ...
Thomas Bartsch, Djairo G. de Figueiredo
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Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations
Differential Equations and Dynamical Systems, 2017The authors consider a boundary value problem for the fourth order ODE with impulses at fixed times \[ u^{(4)}(t) + K\left(\int_0^T (-A|u'(s)|^2 + B|u(s)|^2)\, \mathrm{d}s \right)(Au''(t) + Bu(t)) = \lambda f(t,u(t)) \] for \(t \in [0,T], t \ne t_j,\) \[ \Delta u''(t_j) = I_{1j}(u(t_j)), \ -\!\Delta u'''(t_j) = I_{2j}(u(t_j)), \quad j = 1,2,\ldots,m, \]
Caristi Giuseppe +2 more
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Infinitely many periodic solutions for a second-order nonautonomous system
Nonlinear Analysis: Theory, Methods & Applications, 2003The existence of solutions \(u\in C^1([0,T],\mathbb{R}^k)\) to the system \[ \ddot u= A(t)u+ b(t)\nabla G(u)\quad\text{a.e. in }[0,T],\quad u(0)- u(T)= \dot u(0)-\dot u(T)= 0,\tag{1} \] is investigated. Roughly speaking, it is shown that if \(G\) has a suitable oscillation behavior at infinity (or at zero), then (1) has an unbounded sequence of ...
FARACI, FRANCESCA, LIVREA R.
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Infinitely many solutions for a double Sturm–Liouville problem
Journal of Global Optimization, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinitely Many Positive Nonradial Solutions for the Kirchhoff Equation
Mathematical Methods in the Applied SciencesABSTRACTWe are concerned with the existence of positive nonradial solutions to the following Kirchhoff equation: where and are radial functions having the following expansions: with and . By introducing the Miranda theorem and developing some delicate analysis, we construct infinitely many positive nonradial multibump solutions of this ...
Hui Guo, Boling Tang, Tao Wang
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Infinitely many rotating periodic solutions for damped vibration systems
Theoretical and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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