15 citations · 35 across the 21 of their papers we have counts for
5 papers · 2 filters
On the solvability of resonance problems for nonlocal elliptic equations
Sarika Goyal
In this article, we consider the following problem: $$ \quad \left\{ \begin{array}{lr} \quad (-Δ)^s u = αu^+ -βu^{-} + f(u) + h \; \text{in}\;Ω\quad \quad \quad \quad u =0 \; \text…
A note on the eigenvalues of fractional Hardy-Sobolev operator with indefinite weight
Sarika Goyal
In this article, we study the eigenvalue of nonlinear fractional Hardy operator \begin{align*} (-Δ)_p^αu - μ\frac{|u|^{p-2}u}{|x|^{pα}} = λV(x) |u|^{p-2}u \; \text{in}\; Ω, \qu…
Multiplicity results of fractional-Laplace system with sign-changing and singular nonlinearity
Sarika Goyal
In this article, we study the following fractional-Laplacian system with singular nonlinearity \begin{equation*} (P_{λ,μ}) \left\{ \begin{array}{lr} (-Δ)^s u = λf(x) u^{-q}+ \fracα…
Multiplicity results of fractional -Laplace equations with sign-changing and singular nonlinearity
Sarika Goyal
In this article, we study the following fractional -Laplacian equation with singular nonlinearity \begin{equation*} (P_{\la}) \left\{ \begin{array}{lr} - 2\int_{\mb R^n}\frac{|w…
Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
Pawan Kumar Mishra, Sarika Goyal, K. Sreenadh
\noi In this article, we study the existence of non-negative solutions of the following polyharmonic Kirchhoff type problem with critical singular exponential nolinearity $$ \quad…