The Liouville–Bratu–Gelfand Problem for Radial Operators
By Jon Jacobsen, K. Schmitt. 2002
228 citations recorded by the source corpus.
Abstract We determine precise existence and multiplicity results for radial solutions of the Liouville–Bratu–Gelfand problem associated with a class of quasilinear radial operators, which includes perturbations of k-Hessian and p-Laplace operators.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/59596a26b1d1223c67b4a109b0722061ef5cc6fd
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In Applied Mathematics
- I. Flores
- I. H. Hassan
- V. S. Erturk
- Jean Dolbeault
- Ron Buckmire
- Van Hoang Nguyen
- Monica Musso
- Angela Pistoia
In Computational Theory and Mathematics
In Mathematical Physics
- I. H. Hassan
- V. S. Erturk
- Jean Dolbeault
- Ron Buckmire
- José Antonio Carrillo
- Monica Musso
- Benoit Perthame
Citations in the corpus
- Geometry of phase space and solutions of semilinear elliptic equations in a ball (2007, background): “Recently in [20] the case of p-Laplacian and of k-Hessian operators, where the autonomous reduction is still possible, has been analyzed when the right-hand side in (4) is replaced by λ e.”
- Application of a Mickens finite‐difference scheme to the cylindrical Bratu‐Gelfand problem (2004, background): “In [11], Jacobsen and Schmitt provide an excellent summary of the significance and history of the Bratu problem.”
- A General Approach to Obtain Series Solutions of Nonlinear Differential Equations (2007, background): “This problem still attracts the attention of current researchers [48, 49].”
- An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems (2016, unknown): “011 [9] Jacobsen, J; Schmitt, K, The Liouville-bratu-Gelfand problem for radial operators, J.”
- APPLYING DIFFERENTIAL TRANSFORMATION METHOD TO THE ONE-DIMENSIONAL PLANAR BRATU PROBLEM (2007, methodology): “5) It was evaluated in [14], [11], [12] , [13] , [8] and [4] , that the critical value c λ is given by 513830719 .”