中文簡介

變分微積分和偏微分方程吸引并匯集了該研究領(lǐng)域的許多重要的高質(zhì)量貢獻(xiàn)，并強調(diào)了分析人員、幾何學(xué)者和物理學(xué)家之間的相互作用。期刊中的相關(guān)內(nèi)容包括:-變分積分的極小化問題，極小化器和臨界點的存在性和正則性理論，幾何測度理論偏微分方程的變分方法，線性和非線性特征值問題，分岔理論-微分和復(fù)幾何中的變分問題-全局分析和拓?fù)涞淖兎址椒?動力系統(tǒng)，辛幾何，哈密頓系統(tǒng)的周期解-數(shù)學(xué)物理中的變分方法，非線性彈性，晶體，漸近變分問題，均勻化，毛細(xì)現(xiàn)象，自由邊界問題和相變-與微分幾何、復(fù)幾何和物理問題有關(guān)的孟-安培方程和其他全非線性偏微分方程。

　　英文簡介

Calculus of Variations and Partial Differential Equations attracts and collects many of the important top-quality contributions to this field of research, and stresses the interactions between analysts, geometers, and physicists.Coverage in the journal includes:- Minimization problems for variational integrals, existence and regularity theory for minimizers and critical points, geometric measure theory- Variational methods for partial differential equations, linear and nonlinear eigenvalue problems, bifurcation theory- Variational problems in differential and complex geometry- Variational methods in global analysis and topology- Dynamical systems, symplectic geometry, periodic solutions of Hamiltonian systems- Variational methods in mathematical physics, nonlinear elasticity, crystals, asymptotic variational problems, homogenization, capillarity phenomena, free boundary problems and phase transitions- Monge-Ampère equations and other fully nonlinear partial differential equations related to problems in differential geometry, complex geometry, and physics.

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