论文标题
非线性，非均匀的罗宾问题无限势和一般反应
Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
论文作者
论文摘要
我们考虑由非均匀差分操作员加上不确定电位驱动的非线性椭圆方程。在反应项上，我们仅将条件施加到零接近。使用变分方法，以及截断和扰动技术和关键组，我们生成了三种具有符号信息的非平凡解决方案。在半线性情况下，我们通过获得第二个非平凡溶液的第二个节点溶液来改善这一结果。最后，在反应项的对称条件下，我们生成了一系列不同的淋巴结溶液。
We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. Using variational methods, together with truncation and perturbation techniques and critical groups, we produce three nontrivial solutions with sign information. In the semilinear case we improve this result by obtaining a second nodal solution for a total of four nontrivial solutions. Finally, under a symmetry condition on the reaction term, we generate a whole sequence of distinct nodal solutions.
