17 papers · 1 filter
Liouville results for supersolutions of fractional -Laplacian equations with gradient nonlinearities
Mousomi Bhakta, Anup Biswas, Aniket Sen
We prove that any nonnegative viscosity solution of the inequality must be constant. This re…
Liouville results for -Laplacian elliptic equations with source terms involving gradient nonlinearities
Mousomi Bhakta, Anup Biswas, Roberta Filippucci
In this paper, we present a series of Liouville-type theorems for a class of nonhomogeneous quasilinear elliptic equations featuring reactions that depend on the solution and its g…
Liouville properties for differential inequalities with Laplacian operator
Mousomi Bhakta, Anup Biswas, Roberta Filippucci
In this paper, we establish several Liouville-type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associate…
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\in…
Poincaré-Sobolev equations with the critical exponent and a potential in the hyperbolic space
Mousomi Bhakta, Debdip Ganguly, Diksha Gupta +1
On the hyperbolic space, we study a semilinear equation with non-autonomous nonlinearity having a critical Sobolev exponent. The Poincaré-Sobolev equation on the hyperbolic space e…
Critical -fractional problems involving a sandwich type nonlinearity
Mousomi Bhakta, Alessio Fiscella, Shilpa Gupta
In this paper, we deal with the following -fractional problem $$ (-Δ)^{s_{1}}_{p}u +(-Δ)^{s_{2}}_{q}u=λP(x)|u|^{k-2}u+θ|u|^{p_{s_{1}}^{*}-2}u \, \mbox{ in }\, Ω,\qquad u=0\,…