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On fundamental solutions for 3D singular elliptic equations with a parameter

Applied Mathematics Letters, 2011
Erkinjon Karimov
exaly  

Singular semilinear elliptic equations in the half-space.

2011
The present paper addresses existence of a ground state solution for the equation \[ X^q_N\Delta u+ u^{p-1}= 0,\quad u(x)> 0,\quad x\in\Omega,\tag{1} \] where \(\Omega\subset Y:= \mathbb R^{N-1}\times (0,\infty)\), \(N\geq 2\) and \(2^*= {2N\over N-2}\) for \(N> 2\), \(2^*= \infty\) for \(N= 2\).
openaire   +2 more sources

Boundary Singularities in Linear Elliptic Differential Equations

IMA Journal of Applied Mathematics, 1969
Fox, L., Sankar, R.
openaire   +1 more source

Prescribed singular submanifolds of some quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
exaly  

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