Variational Methods in Mathematical Physics

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This revised edition offers a comprehensive exploration of modern advancements in the direct methods of calculus of variations, bridging traditional approaches with contemporary theories. Key topics include Thomas-Fermi theory and global systems of semilinear elliptic partial-differential equations, focusing on weak solutions and their regularity. While it connects to nonlinear functional analysis, the presentation prioritizes clarity and accessibility, making it suitable for readers seeking a deeper understanding of applied mathematics and mathematical physics.