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math.AP2024
Pairs of fixed points for a class of operators on Hilbert spaces
A. Mokhtari, K. Saoudi, D. D. Repovš
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given…
math.AP2024
Nodal solutions for Neumann systems with gradient dependence
Kamel Saoudi, Eadah Alzahrani, Dušan D. Repovš
We consider the following convective Neumann systems:\begin{equation*}\left(\mathrm{S}\right)\qquad\left\{\begin{array}{ll}-Δ_{p_1}u_1+\frac{|\nabla u_1|^{p_1}}{u_1+δ_1}=f_1(x,u_1,…