An improved Hardy inequality will be proven in the present work. Using the improved Hardy inequality and variational techniques, we also discuss the existence of nontrivial solution for following the weighted eigenval...An improved Hardy inequality will be proven in the present work. Using the improved Hardy inequality and variational techniques, we also discuss the existence of nontrivial solution for following the weighted eigenvalue problem:展开更多
In this article, the authors prove the existence and the nonexistence of nontrivial solutions for a semilinear biharmonic equation involving critical exponent by virtue of Mountain Pass Lemma and Sobolev-Hardy inequal...In this article, the authors prove the existence and the nonexistence of nontrivial solutions for a semilinear biharmonic equation involving critical exponent by virtue of Mountain Pass Lemma and Sobolev-Hardy inequality.展开更多
Superconvergence of the Bogner-Fox-Schmit element for the biharmonic equation is presented. The convergence rate can be increased from two order to four order by the interpolated postprocessing.in H^2-norm on the gene...Superconvergence of the Bogner-Fox-Schmit element for the biharmonic equation is presented. The convergence rate can be increased from two order to four order by the interpolated postprocessing.in H^2-norm on the general rectangular meshes.展开更多
基金Supported by the National Natural Science Foundation of China (No.10171032)the Guangdong Natural Science Foundation (No.011606)
文摘An improved Hardy inequality will be proven in the present work. Using the improved Hardy inequality and variational techniques, we also discuss the existence of nontrivial solution for following the weighted eigenvalue problem:
基金Supported by NSFC(10471047)NSF Guangdong Province(05300159).
文摘In this article, the authors prove the existence and the nonexistence of nontrivial solutions for a semilinear biharmonic equation involving critical exponent by virtue of Mountain Pass Lemma and Sobolev-Hardy inequality.
文摘Superconvergence of the Bogner-Fox-Schmit element for the biharmonic equation is presented. The convergence rate can be increased from two order to four order by the interpolated postprocessing.in H^2-norm on the general rectangular meshes.
