AN ELEMENTARY TREATISE ON DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS

By T. MIURK

CONTENTS 1 SOLUTIONS OF QUASILINEAR SECOND-ORDER ELLIPTIC BOUNDARY VALUE PROBLEMS VIA DEGREE THEORY 2 STATIONARY NAVIER–STOKES PROBLEM IN A TWO-DIMENSIONAL EXTERIOR DOMAIN 3 QUALITATIVE PROPERTIES OF SOLUTIONS TO ELLIPTIC PROBLEMS 4 ON SOME BASIC ASPECTS OF THE RELATIONSHIP BETWEEN THE CALCULUS OF VARIATIONS AND DIFFERENTIAL EQUATIONS 5 ON A CLASS OF SINGULAR PERTURBATION PROBLEMS 6 NONLINEAR SPECTRAL PROBLEMS FOR DEGENERATE ELLIPTIC OPERATORS 7 ANALYTICAL ASPECTS OF LIOUVILLE-TYPE EQUATIONS WITH SINGULAR SOURCES 8 ELLIPTIC EQUATIONS INVOLVING MEASURES