5 papers
Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications
Mousomi Bhakta, Nirjan Biswas, Paramananda Das
In this paper, we consider the following mixed local nonlocal Brezis-Nirenberg problem \begin{equation}\label{crit_pro_abstract}\tag{} -Îu+(-Î)^s u=λ|u|^{p-2}…
Mixed local-nonlocal equations with critical nonlinearity on : Non-existence, Existence, and Multiplicity of positive solutions
Nirjan Biswas, Souptik Chakraborty, Paramananda Das
We consider the following quasilinear critical problem involving the mixed local-nonlocal operator: \begin{equation}\label{main_prob_abstract_1}\tag{} -Î_p u+(-Î_p…
Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions
Mousomi Bhakta, Nirjan Biswas, Paramananda Das
We study the existence and multiplicity of positive solutions for the following concave-critical problem driven by an operator of mixed order obtained by the sum of the classical $…
Fractional -Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity
Nirjan Biswas, Paramananda Das, Shilpa Gupta
Let be a bounded open set containing zero, and . In this paper, we first deal with the existence, non-existence and some p…
Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states
Mousomi Bhakta, Paramananda Das, Debdip Ganguly
We study the fractional Schrödinger equations with a vanishing parameter: where $s…