Existence theorem for a class of semilinear totally characteristic elliptic equations involving supercritical cone sobolev exponents

Zhihua Huang; Xiaochun Liu

doi:10.3934/cpaa.2019144

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2019, Volume 18, Issue 6: 3201-3216. Doi: 10.3934/cpaa.2019144

This issue Previous Article Ground states for asymptotically periodic fractional Kirchhoff equation with critical Sobolev exponent Next Article The effect of nonlocal term on the superlinear elliptic equations in

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Existence theorem for a class of semilinear totally characteristic elliptic equations involving supercritical cone sobolev exponents

Zhihua Huang and
Xiaochun Liu^,

School of Mathematics and Statistics, Wuhan University, Wuhan 330022, Hubei, China

^*Corresponding author
^*Corresponding author

Received: November 30, 2018

Revised: November 30, 2018

Published: May 2019

The authors are supported by NSFC grants 11771342 and 11571259

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Abstract

In this paper, we prove the existence of bounded positive solutions for a class of semilinear degenerate elliptic equations involving supercritical cone Sobolev exponents. We also obtain the existence of multiple solutions by the Ljusternik-Schnirelman theory.

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Mathematics Subject Classification: 35J20, 58J05.

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