论文标题

新类$(p; q)$ laplacian Systems的积极弱解决方案的存在和多样性

Existence and multiplicity of positive weak solutions for a new class of $(p; q)$-Laplacian systems

论文作者

Guefaifia, Rafik, Zuo, Jiabin, Boulaaras, Salah, Agarwal, Praveen

论文摘要

该论文涉及新的$ \ left(p,q \ right)$ laplacian椭圆形系统中的较弱弱解决方案,通过次级求解解决方案的方法。特别是,我们不需要$γ\ left(0 \右),g \ left(0 \右),f \ left(0 \右)$和$ h \ left(0 \右)$的任何标志条件。此外,当$γ\ left(0 \ right)= g \ left(0 \右)= f \ left(0 \右)= h \ left(0 \ right)= 0时,获得多重结果。

The paper is concerned with the existence of positive weak solutions for a new class of $\left( p,q\right) $-Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for $γ\left( 0\right), g\left( 0\right), f\left( 0\right) $ and $h\left(0\right) $. Moreover, a multiplicity result is obtained when $γ\left(0\right)=g\left( 0\right)=f\left( 0\right)=h\left( 0\right)=0.$ Finally, we give some examples to verify our main results.

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