Results 31 to 40 of about 24,953,243 (325)
Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance
Multiple solutions for a class of superquadratic elliptic systems near resonance with high eigenvalues are obtained by using the nabla theorem due to Marino and Saccon in (Topol. Methods Nonlinear Anal. 17:213-237, 2001) and the linking theorem.
Ying Lv, Zeng-Qi Ou, Chun Li
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In this paper, we consider the elliptic collinear solutions of the classical $n$-body problem, where the $n$ bodies always stay on a straight line, and each of them moves on its own elliptic orbit with the same eccentricity.
Long, Yiming, Zhou, Qinglong
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Elliptic Root System and Elliptic Artin Group
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Quasilinear and singular elliptic systems
In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results.
Giacomoni, Jacques +2 more
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Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems [PDF]
For a family of second-order elliptic systems in divergence form with rapidly oscillating almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients.
Zhongwei Shen
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Elliptic hypergeometric functions associated with root systems
We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two form in essence an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integeral ...
Rosengren, Hjalmar, Warnaar, S. Ole
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Nonvariational elliptic systems
The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain.
Alves, Claudianor O. +1 more
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New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
Integrable N-particle systems have an important property that the associated Seiberg-Witten prepotentials satisfy the WDVV equations. However, this does not apply to the most interesting class of elliptic and double-elliptic systems.
Aminov, G., Mironov, A., Morozov, A.
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Existence and multiplicity of solutions for a class of superlinear elliptic systems
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
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