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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…
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+…
Continuums of positive solutions for classes of non-autonomous and non-local problems with strong singular term
Carlos Alberto Santos, Lais Santos, Pawan Kumar Mishra
In this paper, we show existence of \textit{continuums} of positive solutions for non-local quasilinear problems with strongly-singular reaction term on a bounded domain in $\mathb…
Fractional Hamiltonian systems with critical exponential growth
Joao Marcos do Ó, Jacques Giacomoni, Pawan Kumar Mishra
In this paper, we study the following nonlocal nonautonomous Hamiltonian system on whole $$ \left\{\begin{array}{ll} (-Δ)^\frac12~ u +u=Q(x) g(v)&\quad\mbox{in } \mathb…
Super critical problems with concave and convex nonlinearities in
J. M. do Ó, P. K. Mishra, A. Moameni
In this paper, by utilizing a newly established variational principle on convex sets, we provide an existence and multiplicity result for a class of semilinear elliptic problems de…
Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
Pawan Kumar Mishra, Sarika Goyal, K. Sreenadh
\noi In this article, we study the existence of non-negative solutions of the following polyharmonic Kirchhoff type problem with critical singular exponential nolinearity $$ \quad…