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math.AP2025
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.AP2024
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^{…
math.AP2015
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…