Latest Articles

Latest accepted papers, forthcoming into regular issues of the journal

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Abstract. We present existence and nonexistence results on the solution of an overdetermined problem for the normalized p-Laplacian in a bounded open set, with p ranging from 1 to infinity. More precisely we consider a non-constant Neumann condition at the boundary. The definitions and statements needed to understand the main results are recalled in detail.

Abstract. We give existence results for weak solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth.

Abstract. In this paper, we consider a nonlinear fractional hybrid differential equation involving the Ψ-Caputo fractional operator with nonlocal periodic boundary conditions. Based on Lipschitz and Carathéodory conditions and via the Krasnoselskii fixed point theorem and some basic fractional analysis techniques, we discuss the existence and uniqueness of solutions to the proposed problem. Moreover, for a specific class of continuous functions, we prove some fundamental fractional differential inequalities. We finish this work with a non-trivial example.