The question of interior blow-up points for an elliptic Neumann problem: The critical case

Journal des Mathematiques Pures et Appliquees

Volumn 81, Issue 7, 2002, Pages 655-696

  Rey, Olivier ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036339747     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(01)01251-X     Document Type: Article

References (52)

1. The Neumann problem for elliptic equations with critical nonlinearity, A tribute in honour of G
2. Geometry and topology of the boundary in the critical Neumann problem
3. The role of the mean curvature in semilinear Neumann problem involving critical exponent
4. Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
5. ∞-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent
6. Existence and nonexistence of positive radial solutions of Neumann problems with critical Sobolev exponents
7. Critical points at infinity in some variational problems
8. On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain
9. On a variational problem with lack of compactness: The topological effect of the critical point at infinity
10. Equilibria with many nuclei for the Cahn-Hilliard equation
11. Convergence of solutions of H-systems or how to blow bubbles
12. Asymptotic behaviour of solutions of elliptic equations with critical exponent and Neumann boundary conditions
13. Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth
14. Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem
15. Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
16. Multiplicity of multiple interior peaks solutions for some singularly perturbed Neumann problems
17. Multipeak solutions for a singularly perturbed Neumann problem
18. On a singularly perturbed Neumann problem with the critical exponent
19. On the effect of critical points of distance function in superlinear elliptic problems
20. Existence of multipeak solutions for a semilinear elliptic problem via nonsmooth critical point theory
21. Multi-peak solutions for a semilinear Neumann problem
22. Multi-peak solutions for a Neumann problem involving the critical Sobolev exponent
23. Estimates for boundary bubbling solutions to an elliptic Neumann problem
24. Multiple interior peak solutions for some singularly perturbed Neumann problems
25. On the existence of arbitrary number of bubbles for some semilinear elliptic equations with critical Sobolev exponent
26. Multiple mixed boundary and interior peak solutions for some singularly perturbed Neumann problems
27. Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and quasi-invariant manifold
28. n and related problems, Part I
29. On a singularly perturbed equation with Neumann boundary condition
30. Yamabe type equations on three dimensional Riemannian manifolds
31. On the Diffusion Coefficient of a Semilinear Neumann Problem
32. Large amplitude stationary solutions to a chemotaxis system
33. On Neumann problems for semilinear elliptic equations with critical nonlinearity: Existence and symmetry of multi-peaked solutions
34. Models of Biological Pattern Formation
35. Singular behavior of least-energy solutions of a semi-linear Neumann problem involving critical Sobolev exponents
36. On the shape of least-energy solutions to a semi-linear problem Neumann problem
37. Locating the peaks of least-energy solutions to a semi-linear Neumann problem
38. Boundary effect for an elliptic Neumann problem with critical nonlinearity
39. The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3
40. An elliptic Neumann problem with critical nonlinearity in three dimensional domains
41. On the number of constant scalar curvature metrics in a conformal class
42. The chemical basis of morphogenesis
43. Neumann problem of semilinear elliptic equations involving critical Sobolev exponents
44. Remarks on a nonlinear Neumann problem with critical exponent
45. The effect of domain geometry on the number of positive solutions of Neumann problems with critical exponents
46. High energy and multi-peaked solutions for a nonlinear Neumann problem with critical exponent
47. Construction of multi-peaked solution for a nonlinear Neumann problem with critical exponent
48. On the interior spike layer solutions of singularly perturbed semilinear Neumann problems
49. Stationary solutions for the Cahn-Hilliard equation
50. 3
51. On the number of interior multipeak solutions for singularly perturbed Neumann problems
52. Uniqueness results through a priori estimates, I. A three dimensional Neumann problem