5 papers
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 Δ\left[ϕ(Δu(n-1))\right] \qquad (n\i…
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…
Non-potential systems with relativistic operators and maximal monotone boundary conditions
Petru Jebelean, Calin Serban
We are concerned with solvability of a non-potential system involving two relativistic operators, subject to boundary conditions expressed in terms of maximal monotone operators. T…
Potential systems with singular -Laplacian
Petru Jebelean
We are concerned with solvability of the boundary value problem $$-\left[ ϕ(u^{\prime}) \right] ^{\prime}=\nabla_u F(t,u), \quad \left ( ϕ\left( u^{\prime }\right)(0), -ϕ\left( u^{…
The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space
Cristian Bereanu, Petru Jebelean, Calin Serban
Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem inv…