Abstract
In this work, we are concerned with the existence of a ground state solution
for a Kirchhoff weighted problem under boundary Dirichlet condition
in the unit ball of $\mathbb{R}^{4}$.
The nonlinearities have critical growth in view of Adams'
inequalities. To prove the existence result, we use Pass Mountain Theorem.
The main difficulty is
the loss of compactness due to the critical exponential growth of the nonlinear
term $f$. The associated energy function does not satisfy
the condition of compactness. We provide a new condition for growth and we stress its importance
to check the min-max compactness level.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis
Cited by
5 articles.
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