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

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3 papers · 1 filter

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.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

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