292 citations · 993 across the 54 of their papers we have counts for
55 papers
Mixed local-nonlocal eigenvalue problems in the Heisenberg group: spectral theory and singular multiplicity
Prashanta Garain, Vicentiu Radulescu
This paper investigates nonlinear eigenvalue problems governed by a family of operators that combine two distinct diffusion mechanisms: a classical local diffusion, which accounts…
Global multiplicity for parametric anisotropic Neumann -equations
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a Neumann boundary value problem driven by the anisotropic -Laplacian plus a parametric potential term. The reaction is ``superlinear". We prove a global (with r…
A large class of nonlocal elliptic equations with singular nonlinearities
Rakesh Arora, Phuoc-Tai Nguyen, Vicentiu D. Radulescu
In this work, we address the questions of existence, uniqueness, and boundary behavior of the positive weak-dual solution of equation , posed in…
Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation
Yuzhou Fang, Vicentiu D. Radulescu, Chao Zhang
We establish the equivalence between weak and viscosity solutions to the nonhomogeneous double phase equation with lower-order term $$ -{\rm div}(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du)=f(x…
Anisotropic singular Neumann equations with unbalanced growth
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear parametric Neumann problem driven by the anisotropic -Laplacian and a reaction which exhibits the combined effects of a singular term and of a parame…
Combined effects in mixed local-nonlocal stationary problems
Rakesh Arora, Vicentiu D. Radulescu
In this work, we study an elliptic problem involving an operator of mixed order with both local and nonlocal aspects, and in either the presence or the absence of a singular nonlin…