论文标题
一般扰动定理，应用于非均匀临界生长椭圆形问题
A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems
论文作者
论文摘要
我们证明了一种一般的扰动定理，可用于获得各种局部和非局部非均质椭圆问题的非平凡溶液对。对关键$ p $ -laplacian问题的申请，$ p $ -laplacian问题，具有关键的Hardy-Sobolev指数，关键的分数$ p $ -laplacian问题和关键$（P，Q）$ - Laplacian问题。即使在半线性案例$ p = 2 $中，我们的结果也是新的。
We prove a general perturbation theorem that can be used to obtain pairs of nontrivial solutions of a wide range of local and nonlocal nonhomogeneous elliptic problems. Applications to critical $p$-Laplacian problems, $p$-Laplacian problems with critical Hardy-Sobolev exponents, critical fractional $p$-Laplacian problems, and critical $(p,q)$-Laplacian problems are given. Our results are new even in the semilinear case $p = 2$.
