1
Return

On Polyharmonic Kirchhoff Problems with Double Phase Structure and Subcritical Nonlinearities

delete2026-03-17
delete0
PRE
AI
D
Dixit, Ashutosh
M
Mukherjee, Tuhina *
W
Winkert, Patrick
DOI：10.1007/s00245-026-10414-2delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
This article studies subcritical elliptic problems driven by a polyharmonic double phase operator and establishes the existence of an unbounded sequence of weak solutions. Our approach relies on the symmetric mountain pass theorem of Ambrosetti and Rabinowitz and successfully treats the delicate degenerate regime of the operator. The results appear to be the first in the literature to address polyharmonic double phase problems within this framework.
Keywords:
Multiple solutions
Musielak-Orlicz Sobolev spaces
Polyharmonic double phase operator
Subcritical growth problem
Variational methods
Symmetric mountain pass theorem

Journal

A
APPLIED MATHEMATICS AND OPTIMIZATION
IF:
1.7
Papers:
106
Citations:
0

Organization

I
indian institute of technology (iit) - jodhpur
Scholars:
843
Papers: 753
Citations: 2
I
indian institute of technology system (iit system)
Scholars:
9.3W
Papers: 9.9W
Citations: 93
Cited Papers

Cited Papers

Citing Papers

Citing Papers