Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Walter Dambrosio"'
Publikováno v:
Calculus of Variations and Partial Differential Equations. 62
We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: $$ \frac{\rm d}{{\rm d}t}\left(\frac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\right)=\nabla V(x),\qquad x\in\Omega \subset \mathbb{R}^n, $$ where $m
We consider a perturbed relativistic Kepler problem \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\dfrac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\right)=-\alpha\, \dfrac{x}{|x|^3}+\varepsilon \, \nabla_x U(t,x), \qquad x \in \mathbb{R}^2 \setminu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c5260d09b19a43d0edda4f33e01f328
http://hdl.handle.net/2318/1837241
http://hdl.handle.net/2318/1837241
We deal with a weakly coupled system of ODEs of the type $$\begin{aligned} x_j'' + n_j^2 \,x_j + h_j(x_1,\ldots ,x_d) = p_j(t), \qquad j=1,\ldots ,d, \end{aligned}$$ x j ′ ′ + n j 2 x j + h j ( x 1 , … , x d ) = p j ( t ) , j = 1 , … , d , wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4dc65cb0c01803f5cce876ebb820536
Publikováno v:
Journal of Differential Equations. 262:5990-6017
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem { Δ u + ( a + ( | x | ) − μ a − ( | x | ) ) g ( u ) = 0 , | x | 1 , u ( x ) → ∞ , | x | → 1 , where g is a function supe
Given a smooth function U ( t , x ) U(t,x) , T T -periodic in the first variable and satisfying U ( t , x ) = O ( | x | α ) U(t,x) = \mathcal {O}(\vert x \vert ^{\alpha }) for some α ∈ ( 0 , 2 ) \alpha \in (0,2) as | x | → ∞ \vert x \vert \to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca799c4d702e53b35ef52aa77c4dab08
http://arxiv.org/abs/1902.08407
http://arxiv.org/abs/1902.08407
We revisit a classical result by Jacobi (J Reine Angew Math 17:68–82, 1837) on the local minimality, as critical points of the corresponding energy functional, of fixed-energy solutions of the Kepler equation joining two distinct points with the sa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4857aebb0136dac18d0abdbb24154718
We prove the existence of half-entire parabolic solutions, asymptotic to a prescribed central configuration, for the equation \begin{equation*} \ddot{x} = \nabla U(x) + \nabla W(t,x), \qquad x \in \mathbb{R}^{d}, \end{equation*} where $d \geq 2$, $U$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::459269d2c242bf6c0f1678ae00a0d6f8
For the spatial generalized N-centre problem $$\begin{aligned} \ddot{x} = -\sum _{i=1}^{N} \frac{m_i (x - c_i)}{\vert x - c_i \vert ^{\alpha +2}},\quad x \in \mathbb {R}^3 {\setminus } \{c_1,\ldots ,c_N \}, \end{aligned}$$ where $$m_i > 0$$ and $$\al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42fa0a9f2225a1e49efdbbf1b9bfec41
http://hdl.handle.net/2318/1677174
http://hdl.handle.net/2318/1677174
For the planar $N$-centre problem $$ \ddot x = - \sum_{i=1}^N \frac{m_i (x-c_i)}{| x - c_i|^{\alpha+2}}, \qquad x \in \mathbb{R}^2 \setminus \{ c_1,\ldots,c_N \}, $$ where $m_i > 0$ for $i=1,\ldots,N$ and $\alpha \in [1,2)$, we prove the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0ede6e503ace315a0722f1349cb9cb7
http://arxiv.org/abs/1704.01307
http://arxiv.org/abs/1704.01307
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 22:263-299
We first study the linear eigenvalue problem for a planar Dirac system in the open half-line and describe the nodal properties of its solution by means of the rotation number. We then give a global bifurcation result for a planar nonlinear Dirac syst