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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 함수해석
· ISBN : 9781107111943
· 쪽수 : 400쪽
목차
Foreword Jean Mawhin; Preface; Part I. Fractional Sobolev Spaces: 1. Fractional framework; 2. A density result for fractional Sobolev spaces; 3. An eigenvalue problem; 4. Weak and viscosity solutions; 5. Spectral fractional Laplacian problems; Part II. Nonlocal Subcritical Problems: 6. Mountain Pass and linking results; 7. Existence and localization of solutions; 8. Resonant fractional equations; 9. A pseudo-index approach to nonlocal problems; 10. Multiple solutions for parametric equations; 11. Infinitely many solutions; 12. Fractional Kirchhoff-type problems; 13. On fractional Schrodinger equations; Part III. Nonlocal Critical Problems: 14. The Brezis?Nirenberg result for the fractional Laplacian; 15. Generalizations of the Brezis?Nirenberg result; 16. The Brezis?Nirenberg result in low dimension; 17. The critical equation in the resonant case; 18. The Brezis?Nirenberg result for a general nonlocal equation; 19. Existence of multiple solutions; 20. Nonlocal critical equations with concave-convex nonlinearities; References; Index.