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