Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
By Angela Pistoia, Tobias Weth. 2007
78 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/c19e9b9454ead2f3667f4e5f68633d466554634c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Angela Pistoia
- M. Grossi
- Yuxin Ge
- Monica Musso
- Woocheol Choi
- Seunghye Kim
- Ki-Ahm Lee
- Manuel del Pino
Citations in the corpus
- Multiple Blow-Up Phenomena for the Sinh-Poisson Equation (2012, background): “In particular, towers of positive bubbles were found by Del Pino-DolbeaultMusso [6, 7], Ge-Jing-Pacard [15] and Del Pino-Musso-Pistoia [12], while towers of signchanging bubbles were built by Pistoia-Weth [26], Musso-Pistoia [23, 24] and Ge-MussoPistoia [16].”
- Tower of bubbles for almost critical problems in general domains (2010, background): “As far as it concerns problem (1.2), in [ 16 ], the authors prove that if › is symmetric with respect to the x1;:::;xN axes, problem (1.2) has a sign-changing solution with the shape of a tower of bubble with alternate signs, centered at the center of symmetry of the domain.”
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH THE FRACTIONAL LAPLACIAN (2013, background): “[16, 33, 32, 22] which studied the existence of bubble-towers for the related local problems.”
- Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains (2010, background): “The result in [29], as well as in other related problems where construction of tower of bubbles is obtained [14, 15, 16, 32], rely strongly on the assumption of symmetry of the domain.”