15 citations · 32 across the 18 of their papers we have counts for
4 papers · 2 filters
Multiplicity of solutions to a class of degenerate elliptic equations in both sub-critical and critical cases
Kaushik Bal, Sanjit Biswas
Given a smooth, bounded domain , we establish the existence of two non-trivial, non-negative solutions to the semilinear degenerate elliptic equation \begin{a…
Regularity results for a class of mixed local and nonlocal singular problems involving distance function
Kaushik Bal, Stuti Das
We investigate the following mixed local and nonlocal quasilinear equation with singularity given by \begin{eqnarray*} \begin{split} -Δ_pu+(-Δ)_q^s u&=\frac{f(x)}{u^δ}\text { in }…
Multiplicity of solutions for mixed local-nonlocal elliptic equations with singular nonlinearity
Kaushik Bal, Stuti Das
We will prove multiplicity results for the mixed local-nonlocal elliptic equation of the form \begin{eqnarray} \begin{split} -Δ_pu+(-Δ)_p^s u&=\fracλ{u^γ}+u^r \text { in } Ω, \\u&>…
On a mixed local-nonlocal evolution equation with singular nonlinearity
Kaushik Bal, Stuti Das
We will prove several existence and regularity results for the mixed local-nonlocal parabolic equation of the form \begin{eqnarray} \begin{split} u_t-Δu+(-Δ)^s u&=\frac{f(x,t)}{u^{…