Affiliation:
1. School of Mathematics and Statistics and Chongqing Key Laboratory of Economic and Social Application Statistics Chongqing Technology and Business University Chongqing 400067 China
2. School of Mathematical and Statistical Sciences University of Galway Galway Ireland
Abstract
In this work, we study a quasilinear elliptic problem in the whole space
involving the 1‐biharmonic operator with potentials that can vanish at infinity. We consider two different geometrical assumptions in the nonlinearity and use variational methods to obtain nontrivial bounded variation solutions.
Funder
Chongqing Municipal Education Commission
Chongqing Technology and Business University
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics