Results 21 to 30 of about 764,891 (332)
Infinitely Many Solutions for a Robin Boundary Value Problem [PDF]
International Journal of Differential Equations, 2010 By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
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Infinitely Many Traveling Wave Solutions of a Gradient System [PDF]
Transactions of the American Mathematical Society, 1987 We consider a system of equations of the form u t = u x x + ∇ F ( u ) {u_t} = {u_{xx}} + \nabla F(u) .
David Terman
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A construction of infinitely many solutions to the Strominger system [PDF]
Journal of Differential Geometry, 2021 17 pages, comments welcome!
Fei, Teng +2 more
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Infinitely many positive solutions of nonlinear Schrödinger equations [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractThe paper deals with the equation $$-\Delta u+a(x) u =|u|^{p-1}u $$ - Δ u + a ( x ) u
Molle R., Passaseo D.
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
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Infinitely many solutions for Schrödinger–Newton equations
Communications in Contemporary Mathematics, 2023 We prove the existence of infinitely many non-radial positive solutions for the Schrödinger–Newton system [Formula: see text] provided that [Formula: see text] has the following behavior at infinity: [Formula: see text] where [Formula: see text] and [Formula: see text] are some positive constants.
Hu Y., Jevnikar A., Xie W.
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INFINITELY MANY SOLUTIONS FOR A NONLOCAL PROBLEM
Journal of Applied Analysis & Computation, 2020 Consider a class of nonlocal problems $ \left\{\begin{array}{lr} -\left(a-b \int_{\Omega}|\nabla u|^{2} d x\right) \Delta u=f(x, u), & x \in \Omega, \\ u=0, & x \in \partial \Omega, \end{array}\right.$ where $ a>0, b>0 $, $ \Omega\subset \mathbb{R}^N $ is a bounded open domain, $ f:\overline{\Omega} \times \mathbb R \longrightarrow \mathbb R $ is ...
Zhi-Yun Tang, Zeng-Qi Ou
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A sequence of positive solutions for sixth-order ordinary nonlinear differential problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.
Gabriele Bonanno, Roberto Livrea
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Infinitely many solutions for Hamiltonian systems
Journal of Differential Equations, 2002 AbstractWe consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy solutions by minimax technique. If the systems possess sign-changing potential, we also establish an existence theorem of infinitely many solutions by Morse theory.
Wenming Zou, Shujie Li
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Doubly-Periodic Solutions of the Class I Infinitely Extended Nonlinear Schrodinger Equation [PDF]
Doubly periodic solutions of the class-I infinitely extended
nonlinear Schrodinger equation Physical Review E 99, 5(2019) 1-7, 2020 We present doubly-periodic solutions of the infinitely extended nonlinear Schrodinger equation with an arbitrary number of higher-order terms and corresponding free real parameters. Solutions have one additional free variable parameter that allows to vary periods along the two axes.
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