论文标题
通过NEHARI歧管，具有非线性边界条件的双相问题的符号更改解决方案
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
论文作者
论文摘要
在本文中，我们研究了由所谓的双相操作员驱动和非线性边界条件驱动的准线性椭圆方程。由于缺乏规律性，我们通过应用Nehari歧管方法以及截断和比较技术和临界点理论来证明多个解决方案的存在。此外，我们还可以确定溶液的符号（一个正，一个负，一个淋巴结）。此外，由于独立利益，我们证明了此类问题的一般类别的弱解决方案的界限。
In this paper we study quasilinear elliptic equations driven by the so-called double phase operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove the existence of multiple solutions by applying the Nehari manifold method along with truncation and comparison techniques and critical point theory. In addition, we can also determine the sign of the solutions (one positive, one negative, one nodal). Moreover, as a result of independent interest, we prove for a general class of such problems the boundedness of weak solutions.
