Elements of Nonlinear Analysis

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Focusing on modern nonlinear analysis, this book presents both classical and unique concepts, emphasizing simplicity over complexity. It begins with physical issues like elasticity and diffusion to motivate the theoretical content. The text covers essential analysis needed for understanding elliptic problems, including variational inequalities and their regularity. Subsequent chapters address the existence, uniqueness, and approximation of solutions for quasilinear and monotone problems, all illustrated with straightforward examples for clarity.