A Kirchhoff-type equation involving critical exponent and sign-changing weight functions in dimension four

作者：Lou, Qing-Jun^*

来源：Mathematical Methods in the Applied Sciences, 2018, 41(13): 5159-5177.

DOI：10.1002/mma.5061

• concave-convex nonlinearities
• critical exponent
• Kirchhoff equation
• variational methods

In the paper, we study the existence and multiplicity of positive solutions for the following Kirchhoff equation involving concave-convex nonlinearities:
{- ( a integral Omega vertical bar del u vertical bar 2dx + b).u =.. g( x)vertical bar u vertical bar q- 2u + h( x)vertical bar u vertical bar.. - 2u in O, u. H1 0( O).
We obtain the existence and multiplicity of solutions of by variational methods and concentration compactness principle.

• 出版日期2018-9-15
• 单位大连理工大学