A note on additional properties of sign changing solutions to superlinear elliptic equations
By Thomas Bartsch, Tobias Weth. 2003
148 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/0e4f5a124f1d27a7c506f6c5159ebb8dc0e5eaa4
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
- Jean Van Schaftingen
- Zhaoli Liu
- D. Smets
- Thomas Bartsch
- Monica Musso
- Yuxin Ge
In Computational Theory and Mathematics
- Tobias Weth
- Angela Pistoia
- Jean Van Schaftingen
- Zhaoli Liu
- D. Smets
- Thomas Bartsch
- Monica Musso
- Yuxin Ge
In Numerical Analysis
- Jean Van Schaftingen
- D. Smets
- Tobias Weth
- Thomas Bartsch
- Angela Pistoia
- Zhaoli Liu
- Monica Musso
- Hongyu Ye
Citations in the corpus
- On the Existence and the Profile of Nodal solutions of Elliptic Equations Involving Critical Growth (2006, background): “The subcritical case is a particular case of problems treated in [8,10] where the authors studied the existence of sign changing solutions and their properties for a larger class of nonlinearities with subcritical growth.”
- Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem (2007, background): “Later, multiple sign changing solutions and their nodal properties were studied in [7,9].”
- Desingularization of Vortices for the Euler Equation (2009, methodology): “It is a standard procedure [6–8,16] to prove that Proposition 5.”
- 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 Solutions of Superlinear Schrödinger Equations (2003, methodology): “On a bounded domain such a result has been proved in Bartsch and Weth (2003).”