Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents
arXiv:1509.07971
Abstract
We study qualitative properties of solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents where the associated fractional Laplacian is defined in terms of either the spectra of Dirichlet Laplacian or the integral representation. As a consequence, we classify the asymptotic behavior of all finite energy solutions. Our method also provides a simple and unified approach to deal with the classical (local) Lane-Emden-Fowler equation for any dimension greater than 2.
32 pages, revised introduction
References in corpus (6)
- Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations
- Further results on the fractional Yamabe problem: the umbilic case
- A non-compactness result on the fractional Yamabe problem in large dimensions
- On perturbations of the fractional Yamabe problem
- Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings
- Notes on space complexity of integration of computable real functions in Ko-Friedman model