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math.AP2014★ 6 cited
Existence of multiple solutions of -fractional Laplace operator with sign-changing weight function
Sarika Goyal, K. Sreenadh
In this article, we study the following -fractional Laplacian equation \begin{equation*} (P_{\la}) \left\{ \begin{array}{lr} - 2\int_{\mb R^n}\frac{|u(y)-u(x)|^{p-2}(u(y)-u(x))}…
math.AP2014★ 1 cited
Kirchhoff type equations with exponential nonlinearities
Sarika Goyal, Pawan Kumar Mishra, K. Sreenadh
In this article, we study the existence of non-negative solutions of the class of non-local problem of -Kirchhoff type $$ \left\{ \begin{array}{lr} \quad - m(\int_Ω|\nabla u|^n)…