11 citations · 13 across the 7 of their papers we have counts for
6 papers · 1 filter
Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation
Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe
This paper treats the existence of positive solutions of in . Here , is a parameter and satisfies conditions only in a…
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…
Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory
Pietro d'Avenia, Alessio Pomponio, Tatsuya Watanabe
We are interested in standing waves of a modified Schrödinger equation coupled with the Chern-Simons gauge theory. By applying a constraint minimization of Nehari-Pohozaev type, we…
Some quasilinear elliptic equations involving multiple -Laplacians
Alessio Pomponio, Tatsuya Watanabe
This paper is devoted to the study, with variational technique, of (p,q)-Laplacian equations in presence of general nonlinearities. Especially we obtain the existence result for th…
A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
Shinji Adachi, Masataka Shibata, Tatsuya Watanabe
In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, w…
Uniqueness of limit flow for a class of quasi-linear parabolic equations
Marco Squassina, Tatsuya Watanabe
We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate c…