變分微積分和偏微分方程吸引并匯集了該研究領域的許多重要的高質量貢獻,并強調了分析人員、幾何學者和物理學家之間的相互作用。期刊中的相關內容包括:-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-微分和復幾何中的變分問題-全局分析和拓撲的變分方法-動力系統(tǒng),辛幾何,哈密頓系統(tǒng)的周期解-數(shù)學物理中的變分方法,非線性彈性,晶體,漸近變分問題,均勻化,毛細現(xiàn)象,自由邊界問題和相變-與微分幾何、復幾何和物理問題有關的孟-安培方程和其他全非線性偏微分方程。
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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