Isolated Singularities in Partial Differential Inequalities

Marius Ghergu is a Lecturer in the School of Mathematical Sciences at University College Dublin, Ireland. Steven D. Taliaferro is Associate Professor in the Department of Mathematics at Texas A & M University.

• Preface; 1. Representation formulae; 2. Isolated singularities of nonlinear elliptic inequalities; 3. More on isolated singularities for semilinear elliptic inequalities; 4. Elliptic inequalities for the Laplace operator with Hardy potential; 5. Singular solutions for nondivergence type elliptic inequalities; 6. Isolated singularities of polyharmonic inequalities; 7. Nonlinear biharmonic inequalities; 8. Initial blow-up for nonlinear parabolic inequalities; 9. Semilinear elliptic systems of differential inequalities; 10. Isolated singularities for nonlocal elliptic systems; 11. Isolated singularities for systems of parabolic inequalities; Appendix A. Estimates for the heat kernel; Appendix B. Heat potential estimates; Appendix C. Nonlinear potential estimates; Bibliography; Index.

'The book is well written and provides for attractive reading on the subject, acquainting the reader with various properties of differential inequalities and their solutions.' Michael Ruzhansky, MathSciNet