@article{AIHPC_2007__24_4_629_0,
author = {Esposito, Pierpaolo},
title = {Interior estimates for some semilinear elliptic problem with critical nonlinearity},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {629--644},
year = {2007},
publisher = {Elsevier},
volume = {24},
number = {4},
doi = {10.1016/j.anihpc.2006.04.004},
mrnumber = {2334996},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2006.04.004/}
}
TY - JOUR AU - Esposito, Pierpaolo TI - Interior estimates for some semilinear elliptic problem with critical nonlinearity JO - Annales de l'I.H.P. Analyse non linéaire PY - 2007 SP - 629 EP - 644 VL - 24 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2006.04.004/ DO - 10.1016/j.anihpc.2006.04.004 LA - en ID - AIHPC_2007__24_4_629_0 ER -
%0 Journal Article %A Esposito, Pierpaolo %T Interior estimates for some semilinear elliptic problem with critical nonlinearity %J Annales de l'I.H.P. Analyse non linéaire %D 2007 %P 629-644 %V 24 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2006.04.004/ %R 10.1016/j.anihpc.2006.04.004 %G en %F AIHPC_2007__24_4_629_0
Esposito, Pierpaolo. Interior estimates for some semilinear elliptic problem with critical nonlinearity. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 4, pp. 629-644. doi: 10.1016/j.anihpc.2006.04.004
[1] , , Geometry and topology of the boundary in the critical Neumann problem, J. Reine Angew. Math. 456 (1994) 1-18. | Zbl | MR
[2] , , The Neumann problem for elliptic equations with critical nonlinearity, in: Nonlinear Analysis, Sc. Norm. Super. di Pisa Quaderni, Scuola Norm. Sup., Pisa, 1991, pp. 9-25. | Zbl | MR
[3] , , , The role of the mean curvature in semilinear Neumann problem involving critical exponent, Comm. Partial Differential Equations 20 (3-4) (1995) 591-631. | Zbl
[4] , Critical Points at Infinity in Some Variational Problems, Pitman Research Notes in Mathematics Series, vol. 182, Longman Scientific & Technical, Harlow, 1989, copublished in the United States with John Wiley & Sons, Inc., New York. | Zbl | MR
[5] , , , Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (3) (1989) 271-297. | Zbl | MR
[6] , , , Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem, Pacific J. Math. 200 (1) (2001) 19-41. | MR
[7] , , Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter, Rend. Sem. Mat. Univ. Padova 110 (2003) 147-160. | Zbl | MR | Numdam
[8] , From one bubble to several bubbles: the low-dimensional case, J. Differential Geom. 63 (3) (2003) 399-473. | Zbl | MR
[9] , Compactness for Yamabe metrics in low dimensions, Int. Math. Res. Not. 23 (2004) 1143-1191. | Zbl | MR
[10] , , , Blow-Up Theory for Elliptic PDEs in Riemannian Geometry, Mathematical Notes, vol. 45, Princeton University Press, Princeton, NJ, 2004. | Zbl | MR
[11] , , , A -theory for the blow-up of second order elliptic equations of critical Sobolev growth, Electron. Res. Announc. Amer. Math. Soc. 9 (2003) 19-25, (electronic). | Zbl | MR | EuDML
[12] , , , Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case, Nonlinear Anal. 51 (1) (2002) 79-94. | Zbl | MR
[13] , , , On a singularly perturbed Neumann problem with the critical exponent, Comm. Partial Differential Equations 26 (11-12) (2001) 1929-1946. | Zbl | MR
[14] , , Elliptic Partial Differential Equations of Second Order, second ed., Springer-Verlag, 1983. | Zbl | MR
[15] , , Estimates for boundary-bubbling solutions to an elliptic Neumann problem, J. Reine Angew. Math. 546 (2002) 201-235. | MR | Zbl
[16] , Prescribing scalar curvature on and related problems. I, J. Differential Equations 120 (2) (1995) 319-410. | Zbl | MR
[17] , , , Large amplitude stationary solutions to a chemotaxis system, J. Differential Equations 72 (1) (1988) 1-27. | Zbl | MR
[18] , Models of Biological Pattern Formation, Academic Press, London, 1982.
[19] , Eigenfunctions of the equation , Soviet Math. Dokl. 6 (1965) 1408-1411, Translated from the, Russ. Dokl. Acad. Nauk SSSR 165 (1965) 33-36. | Zbl | MR
[20] , The question of interior blow-up points for an elliptic Neumann problem: the critical case, J. Math. Pures Appl. (9) 81 (7) (2002) 655-696. | Zbl | MR
[21] , Boundary effect for an elliptic Neumann problem with critical nonlinearity, Comm. Partial Differential Equations 22 (7-8) (1997). | Zbl | MR
[22] , On the number of constant scalar curvature metrics in a conformal class, in: Differential Geometry, Pitman Monogr. Surveys Pure Appl. Math., vol. 52, Longman Sci. Tech., Harlow, 1991, pp. 311-320. | Zbl | MR
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