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math.AP2013★ 5 cited
A Nehari manifold for non-local elliptic operator with concave-convex non-linearities and sign-changing weight function
Sarika goyal, K. Sreenadh
In this article, we study the existence and multiplicity of non-negative solutions of following -fractional equation: $$ \quad \left\{\begin{array}{lr}\ds \quad - 2\int_{\mb R^n…
math.FA2013★ 15 cited
On The Fučik Spectrum Of Non-Local Elliptic Operators
Sarika Goyal, K. Sreenadh
In this article, we study the Fučik spectrum of fractional Laplace operator which is defined as the set of all $(\al,\ba)\in \mb R^2$ such that \begin{equation*} \quad \left. \begi…