3 papers
math.AP2019
Multiplicity results for fractional magnetic problems involving exponential growth
Pawan Kumar Mishra, João Marcos do Ó, Manassés de Souza
We study the following fractional elliptic equations of the type, \begin{equation*} (-Δ)^{\frac12}_A u = λu+f(|u|)u ,\;\textrm{in } \;(-1, 1),\; u=0\;\textrm{in } \;\mathbb R\setmi…
math.AP2019
The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth
Pawan Kumar Mishra, Joao Marcos do Ó, David G. Costa
In this paper we study the following class of nonlocal {problems} involving Caffarelli-Kohn-Nirenberg type critical growth \begin{align*} L(u)&-λh(x)|x|^{-2(1+a)}u=μf(x)|u|^{q-2}u+…
math.AP2016
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…