2 papers
math.AP2016
On the solvability of resonance problems for nonlocal elliptic equations
Sarika Goyal
In this article, we consider the following problem: $$ \quad \left\{ \begin{array}{lr} \quad (-Δ)^s u = αu^+ -βu^{-} + f(u) + h \; \text{in}\;Ω\quad \quad \quad \quad u =0 \; \text…
math.AP2016
A note on the eigenvalues of fractional Hardy-Sobolev operator with indefinite weight
Sarika Goyal
In this article, we study the eigenvalue of nonlinear fractional Hardy operator \begin{align*} (-Δ)_p^αu - μ\frac{|u|^{p-2}u}{|x|^{pα}} = λV(x) |u|^{p-2}u \; \text{in}\; Ω, \qu…