A. Pomponio

activity

20022025

most citedQuasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

25 citations · 49 across the 16 of their papers we have counts for

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Showing 2020Show all

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math.AP2020

Nonlinear scalar field equation with competing nonlocal terms

Pietro d'Avenia, Jarosław Mederski, Alessio Pomponio

We find radial and nonradial solutions to the following nonlocal problem $- Δ u + ω u = (I_{α} * F (u)) f (u) - (I_{β} * G (u)) g (u) in R^{N}$ under general a…

math.AP2020

Ground state solutions for quasilinear scalar field equations arising in nonlinear optics

Alessio Pomponio, Tatsuya Watanabe

In this paper, we study a class of quasilinear elliptic equations which appears in nonlinear optics. By using the mountain pass theorem together with a technique of adding one dime…