Chapter 5. Quasilinear elliptic equations with coefficients from the Kato class

Kapitel in diesem Buch

1. Frontmatter i
2. Foreword v
3. Contents ix
4. Part I. Nonlinear elliptic equations with L¹-data
5. Chapter 1. Nonlinear elliptic equations of the second order with L¹-data 3
6. Chapter 2. Nonlinear equations of the fourth order with strengthened coercivity and L¹-data 83
7. Part II. Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order
8. Chapter 3. Removability of singularities of the solutions of quasilinear elliptic equations 191
9. Chapter 4. Removability of singularities of the solutions of quasilinear parabolic equations 226
10. Chapter 5. Quasilinear elliptic equations with coefficients from the Kato class 250
11. Part III. Boundary regimes with peaking for quasilinear parabolic equations
12. Chapter 6. Energy methods for the investigation of localized regimes with peaking for parabolic second-order equations 283
13. Chapter 7. Method of functional inequalities in peaking regimes for parabolic equations of higher orders 333
14. Chapter 8. Nonlocalized regimes with singular peaking 377
15. Chapter 9. Appendix: Formulations and proofs of the auxiliary results 412
16. Bibliography 425
17. Backmatter 435