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Infinitely Many Solutions for the Nonlinear Schrödinger–Poisson System
Journal of Dynamical and Control Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ke Jin, Lushun Wang
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Infinitely many solutions of fractional Schrödinger–Maxwell equations
Journal of Mathematical Physics, 2021In this article, we investigate the existence of infinitely many solutions to the 3D fractional Schrödinger–Maxwell equations (−Δ)su + V(x)u + ϕu = λf(x, u), (−Δ)sϕ = u2, where 0 < s < 1, λ is a real parameter, and (−Δ)s is the fractional Laplacian via the variational methods and abstract critical point theory.
Jae-Myoung Kim, Jung-Hyun Bae
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Positive Solutions and Infinitely Many Solutions for a Weakly Coupled System
Acta Mathematica Scientia, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duan, Xueliang +2 more
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On the Infinitely Many Solutions of a Semilinear Elliptic Equation
SIAM Journal on Mathematical Analysis, 1986Die Autoren untersuchen sphärisch symmetrische Lösungen von \[ (*)\quad \Delta u+f(u)=0\quad im\quad {\mathbb{R}}^ n, \] wobei die Nichtlinearität f die folgenden Bedingungen erfüllt: (1) \(f\in C^ 1\); (2) \(f(u)=k(u)| u|^{\sigma}u+g(u)\) mit \(k(u)=k_+\), \(u\geq 0\); \(k(u)=k_-\), \(u0\), \(k_->0\) \(g(u)=O(| u|^{\gamma})\), \(g'(u)=O(| u|^{\gamma ...
Jones, C., Küpper, T.
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Approximate Solutions of the Boltzmann Equation with Infinitely Many Modes
Ukrainian Mathematical Journal, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hordevs'kyi, V. D., Hukalov, O. O.
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INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
Analysis and Applications, 2011We study the nonlinear elliptic equation Δu(x) + a(x)u(x) = g(x)f(u(x)) on the Sierpinski gasket and with zero Dirichlet boundary condition. By extending a method introduced by Faraci and Kristály in the framework of Sobolev spaces to the case of function spaces on fractal domains, we establish the existence of infinitely many weak solutions.
Breckner, Brigitte E. +2 more
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