Minimal nodal solutions of the pure critical exponent problem on a symmetric domain
By M. Clapp, Tobias Weth. 2004
56 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8f0cb50cc3bf6fc63c23b727f60bed649c2c4278
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Tobias Weth
- Angela Pistoia
- Filomena Pacella
- Monica Musso
- Yuxin Ge
- M. Clapp
- Jean Van Schaftingen
- Jun-cheng Wei
In Computational Theory and Mathematics
- Tobias Weth
- Angela Pistoia
- Filomena Pacella
- Monica Musso
- Yuxin Ge
- M. Clapp
- Mihai Marics
- Jun-cheng Wei
In Mathematical Physics
- Angela Pistoia
- Filomena Pacella
- Tobias Weth
- M. Clapp
- Monica Musso
- Jean Van Schaftingen
- X. Tang
- Vitaly Moroz
Citations in the corpus
- Energy bounds for entire nodal solutions of autonomous superlinear equations (2006, background): “We refer the reader to [21, 26, 33] for classical results and to [6, 9, 17], including the references given therein, for more recent developments.”
- Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains (2010, background): “Existence and qualitative behavior of sign changing solutions for elliptic problems with critical nonlinearity have been investigated by several authors in the last years (see [5, 6, 9, 11, 20, 21, 26, 27]).”
- Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem (2007, background): “In [19] the authors obtain existence and multiplicity results for sign changing solutions in domains with small holes and in some contractible domains with an involution symmetry.”
- Multiple solutions to the pure critical exponent problem in domains with a hole of arbitrary size (2008, methodology): “This last condition is, however, not necessary: examples of contractible domains for which problem (}) has a solution have been given, for example, in [9, 10, 15, 16, 5 ].”