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Multiple solutions for a nonhomogeneous quasilinear sub-elliptic system with critical growth and logarithmic perturbation

open access: yesDemonstratio Mathematica
The interest of this paper is that we use the critical point theory to prove the existence of a sequence of non-trivial solutions for a class of nonhomogeneous quasilinear Sub-elliptic systems with critical growth and logarithmic perturbation.
An Yu-Cheng, An Bi-Jun
doaj   +1 more source
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Boundedness of Critical Points in the Symmetric Mountain Pass Lemma

Journal of Convex Analysis, 2022
We study the boundedness of critical points obtained by the symmetric mountain pass lemma. We construct three types of functionals, which have an unbounded sequence of critical values. For the first one, the set of all critical points is bounded although the set of critical values is unbounded.
Ryuji Kajikiya
exaly   +3 more sources

A Convergence Result for Mountain Pass Periodic Solutions of Perturbed Hamiltonian Systems

Communications in Contemporary Mathematics, 2023
Joanna Janczewska   +2 more
exaly  

Multiple Solutions for a Nonlocal Problem

Applied Mathematics Letters, 2023
Changmu Chu, Jiaquan Liu
exaly  

On the Mountain Pass Lemma

Lecture Notes in Mathematics, 1986
Kung-Ching Chang
exaly  

An Extension of the Mountain Pass Lemma

Applied Mathematics Letters, 2008
Lizhou Wang
exaly  

A Compression Type Mountain Pass Theorem in Conical Shells

Journal of Mathematical Analysis and Applications, 2008
Radu Precup
exaly  

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