Analytical Solutions to General Anti-Plane Shear Problems In Finite Elasticity [PDF]
, 2014 This paper presents a pure complementary energy variational method for solving anti-plane shear problem in finite elasticity. Based on the canonical duality-triality theory developed by the author, the nonlinear/nonconex partial differential equation for
Gao, David Y
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Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials [PDF]
Communications on Pure and Applied Analysis, 2018 It is established existence of bound and ground state solutions for quasilinear elliptic systems driven by (\phi 1, \phi 2)-Laplacian operator. The main feature here is to consider quasilinear elliptic systems involving both nonsingular nonlinearities ...
Marcos L. M. Carvalho +3 more
semanticscholar +1 more source
Space-time adaptive finite elements for nonlocal parabolic variational inequalities [PDF]
, 2019 This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain and on the boundary. For a large class of parabolic variational inequalities
Gimperlein, Heiko, Stocek, Jakub
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Differential Galois Approach to the Non-integrability of the Heavy Top Problem [PDF]
, 2004 We study integrability of the Euler-Poisson equations describing the motion of a rigid body with one fixed point in a constant gravity field. Using the Morales-Ramis theory and tools of differential algebra we prove that a symmetric heavy top is ...
Andrzej J. Maciejewski +2 more
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Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs
, 2014 Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
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Separatrix splitting at a Hamiltonian $0^2 i\omega$ bifurcation [PDF]
, 2014 We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Hamiltonian system with two degrees of freedom. We assume that the unperturbed fixed point has two purely imaginary eigenvalues and a double zero one.
A Giorgilli +32 more
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Nonlinear problems on the Sierpi\'nski gasket
, 2017 This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods.
Ambrosetti +31 more
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Multiple solutions with constant sign of a Dirichlet problem for a class of elliptic systems with variable exponent growth [PDF]
, 2016 We investigate the following Dirichlet problem with variable exponents: \begin{equation*} \left\{ \begin{array}{l} -\bigtriangleup _{p(x)}u=\lambda \alpha (x)\left\vert u\right\vert ^{\alpha (x)-2}u\left\vert v\right\vert ^{\beta (x)}+F_{u}(x,u,v),\text{
Li Yin +3 more
semanticscholar +1 more source
FEBS Letters, EarlyView.Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile +8 more
wiley +1 more source
Locating the peaks of semilinear elliptic systems
, 2005 We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function $\Sigma$ as well as representation formulas for the left and the right ...
Pomponio, Alessio, Squassina, Marco
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