3 papers
math.CA2026
Systems with discrete singular -Laplacian and maximal monotone boundary conditions
Andreea Gruie, Petru Jebelean, Calin Serban
We are concerned with solvability of nonlinear systems involving a discrete singular -Laplacian operator of type \begin{equation*} u \mapsto Î\left[Ï(Îu(n-1))\right] \qquad…
math.AP2026
Periodic solutions for p(t)-Lienard equations with a singular nonlinearity of attractive type
Petru Jebelean, Jean Mawhin, Calin Serban
We are concerned with the existence of -periodic solutions to an equation of type $$\left (|u'(t))|^{p(t)-2} u'(t) \right )'+f(u(t))u'(t)+g(u(t))=h(t)\quad \mbox{ in }[0,T]$$ wh…
math.AP2025
Potential systems with singular -Laplacian
Petru Jebelean
We are concerned with solvability of the boundary value problem $$-\left[ Ï(u^{\prime}) \right] ^{\prime}=\nabla_u F(t,u), \quad \left ( Ï\left( u^{\prime }\right)(0), -Ï\left(…