Existence of infinitely many solutions for fourth-order equations depending on two parameters
Electronic Journal of Differential Equations, 2017 By using variational methods and critical point theory, we establish the existence of infinitely many classical solutions for a fourth-order differential equation. This equation has nonlinear boundary conditions and depends on two real parameters.
Armin Hadjian, Maryam Ramezani
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Infinitely many weak solutions for fourth-order equations depending on two parameters
Boletim da Sociedade Paranaense de Matemática, 2018 In this paper, by employing Ricceri variational principle, we prove the existence of infinitely many weak solutions for fourth-order problems depending on two real parameters.
Saeid Shokooh +2 more
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Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations [PDF]
arXiv, 2013 We consider solutions to the Cauchy problem for the incompressible Euler equations on the 3-dimensional torus which are continuous or H\"older continuous for any exponent $\theta<\frac{1}{16}$. Using the techniques introduced in \cite{DS12} and \cite{DS12H}, we prove the existence of infinitely many (H\"older) continuous initial vector fields starting ...
arxiv
Infinitely many solutions for Kirchhoff-type problems depending on a parameter
Electronic Journal of Differential Equations, 2016 In this article, we study a Kirchhoff type problem with a positive parameter $\lambda$, $$\displaylines{ -K\Big( \int_{\Omega }|\nabla u|^{2}dx\Big) \Delta u=\lambda f(x,u) , \quad \text{in } \Omega , \cr u=0, \quad \text{on } \partial \Omega , }$
Juntao Sun, Yongbao Ji, Tsung-fang Wu
doaj
Solutions to euclidean gravity for infinitely many instantons
Physics Letters B, 1979 Abstract Self-dual solutions to euclidean Einstein equations are obtained by integrating over various configurations of an infinite number of Hawking-Gibbons multi-instantons. The resulting metrics are all stationary and of Bianchi type II (euclidean version). They may be previously unknown solutions. In the weak field approximation one finds related
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Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the multiplicity of solutions for the following Schrödinger–Kirchhoff-type equation \[ \begin{cases}-\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\triangle u+V(x)u=f(x,u)+g(x,u), \quad x\in \mathbb{R}^N,\\ u\in H^1(\mathbb{R}^
Qingye Zhang, Bin Xu
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Construction of diagonal quintic threefolds with infinitely many rational points [PDF]
arXivIn this note we present a construction of an infinite family of diagonal quintic threefolds defined over $\Q$ each containing infinitely many rational points. As an application, we prove that there are infinitely many quadruples $B=(B_{0}, B_{1}, B_{2}, B_{3})$ of co-prime integers such that for a suitable chosen integer $b$ (depending on $B$), the ...
arxiv
Existence of infinitely many solutions for the fractional Schr\"odinger- Maxwell equations
, 2015 In this paper, by using variational methods and critical point theory, we shall mainly study the existence of infinitely many solutions for the following fractional Schr\"odinger-Maxwell equations $$( -\Delta )^{\alpha} u+V(x)u+\phi u=f(x,u), \hbox{in } \
Wei, Zhongli
core
Existence of infinitely many solutions for semilinear elliptic equations
Electronic Journal of Differential Equations, 2016 In this article, we study the existence and infinitely many solutions for the elliptic boundary-value problem $$\displaylines{ -\Delta u+a(x)u=f(x,u) \quad\text{in }\Omega, \cr u=0 \quad\text{on }\partial\Omega.
Hui-Lan Pan, Chun-Lei Tang
doaj
Existence of infinitely many solutions for a forward backward heat equation [PDF]
, 1983 Klaus Höllig
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