5 citations · 6 across the 4 of their papers we have counts for
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Existence and multiplicity results for a class of semilinear elliptic equations
Vladimir Bobkov, Pavel Drabek, Jesus Hernandez
We study the existence and multiplicity of nonnegative solutions, as well as the behaviour of corresponding parameter-dependent branches, to the equation i…
Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for
Jesús Ildefonso Díaz, Jesús Hernández, Yavdat Il'yasov
We prove that flat ground state solutions ( minimizing the energy and with gradient vanishing on the boundary of the domain) of the Dirichlet problem associated to some semil…
Existence and regularity of weak solutions for singular elliptic equations
Brahim Bougherara, Jacques Giacomoni, Jesus Hernandez
In the present paper we investigate the following semilinear singular elliptic problem: \begin{equation*} (\rm P)\qquad \left \{\begin{array}{l} -Δu = \dfrac{p(x)}{u^α}\quad \text{…
Quasilinear and singular elliptic systems
Jacques Giacomoni, Jesús Hernández, Paul Sauvy
In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results. Next, we give some applica…