A. Pomponio

activity

20022026

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

25 citations · 49 across the 17 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.AP2024

On the embedding of weighted Sobolev spaces with applications to a planar nonlinear Schrödinger equation

Antonio Azzolini, Alessio Pomponio, Simone Secchi

In this paper we study the embedding properties for the weighted Sobolev space $H_{V}^{1} (R^{N})$ into the Lebesgue weighted space $L_{W}^{τ} (R^{N})$ . Here $V$ and $W$ are di…

math.AP2024

Nonlinear scalar field equation with point interaction

Alessio Pomponio, Tatsuya Watanabe

This paper is devoted to the study of the nonlinear scalar field equation with a point interaction at the origin in dimensions two and three. By applying the mountain pass theorem…