Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610918 | Journal of Differential Equations | 2013 | 12 Pages |
Abstract
We consider the equationâÎuâ12(xâ
âu)=f(u)+β|u|2ââ2u,xâRN, with β>0, f superlinear and 2â:=2N/(Nâ2) for N⩾3. We prove that, for each kâN, there exists βâ=βâ(k)>0 such that the equation has at least k pairs of solutions provided βâ(0,βâ). In the proof we use variational methods for the (even) functional associated to the equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marcelo F. Furtado, João Pablo P. da Silva, Magda S. Xavier,