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This text is meant to be an introduction to critical point theory and its ap plications to differential equations. It is designed for graduate and postgrad uate students as well as for specialists in the fields of differential equations, variational methods and optimization. Although related material can be the treatment here has the following main purposes: found in other books, To present a survey on existing minimax theorems, To give applications to elliptic differential equations in bounded do mains and periodic second-order ordinary differential equations, To consider the dual...

This textbook is a self-contained introduction to partial differential equations. It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science. The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as week solutions and discontinuous solutions of nonlinear conservation laws are also considered.