S. Prashanth

activity

20152018

R^{N}

with Critical and Singular Discontinuous Nonlinearities

15 citations · 17 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2018

Radial singular solutions for the N-Laplace Equation with exponential nonlinearities

M. Ghergu, J. Giacomoni, S. Prashanth

In this paper, we consider radial distributional solutions of the quasilinear equation $- Δ_{N} u = f (u)$ in the punctured open ball $ B_R\backslash\{0\}\subset \RR^N$, $N \geq 2$ . We o…

math.FA2018★ 1 cited

Criticality theory for Schrodinger operators with singular potential

S Prashanth, Marcello Lucia

In a seminal work, B. Simon provided a classification of nonnegative Schrödinger operators $- Δ + V$ into subcritical and critical operators based on the long-term behaviour of the as…

math.AP2016★ 15 cited

Elliptic Problems in $R^{N}$ with Critical and Singular Discontinuous Nonlinearities

R. Dhanya, S. Prashanth, Sweta Tiwari +1

Let $Ω$ be a bounded domain in $R^{N}$ , $N \geq 3$ with smooth boundary, $a > 0, λ > 0$ and $0 < δ < 3$ be real numbers. Define $2^{*} := \frac{2 N}{N - 2}$ and the characteris…

math.AP2015★ 1 cited

Biharmonic equation with singular nonlinearity

J. Giacomoni, S. Prashanth, G. Warnault

We consider the following problem: \begin{eqnarray*} ( P)\qquad \displaystyle\left\{\begin{array} {ll} & Δ^2 u = K(x)u^{-α} \quad \mbox{ in }\,Ω, \\ &u> 0\quad \mbox{ in }\,Ω, \;\;…

Radial singular solutions for the N-Laplace Equation with exponential nonlinearities

Criticality theory for Schrodinger operators with singular potential

Elliptic Problems in RN with Critical and Singular Discontinuous Nonlinearities

Biharmonic equation with singular nonlinearity

Elliptic Problems in $R^{N}$ with Critical and Singular Discontinuous Nonlinearities