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The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements.
Michel Chipot is Professor at the Institute of Mathematics, University of Zürich, Zürich, Switzerland.
Part I Basic Techniques.- Hilbert Space Techniques.- A Survey of Essential Analysis.- Weak Formulation of Elliptic Problems.- Elliptic Problems in Divergence Form.- Singular Perturbation Problems.- Problems in Large Cylinders.- Periodic Problems.- Homogenization.- Eigenvalues.- Numerical Computations.- Part II More Advanced Theory.- Nonlinear Problems.- L∞-estimates.- Linear Elliptic Systems.- The Stationary Navier--Stokes System.- Some More Spaces.- Regularity Theory.- p-Laplace Type Equations.- The Strong Maximum Principle.- Problems in the Whole Space.- Large Solutions.- Mountain Pass Techniques.
C Bandle, Michel Chipot, J Saint Jean Paulin, Josef Bemelmans, I Shafrir, Michel (University of Metz) Chipot, J Saint Jean (University of Metz) Paulin, C. Bandle
Catherine Bandle, Henri Berestycki, Bernhard Brighi, Alain Brillard, Michel Chipot, Jean-Michel Coron, Carlo Sbordone, Itai Shafrir, Vanda Valente, Giorgio Vergara Caffarelli
C Bandle, Michel Chipot, J Saint Jean Paulin, Josef Bemelmans, I Shafrir, Michel (University of Metz) Chipot, J Saint Jean (University of Metz) Paulin, C. Bandle