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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
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Boundedness of Critical Points in the Symmetric Mountain Pass Lemma
Journal of Convex Analysis, 2022We 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
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A Generalized Mountain Pass Lemma With a Closed Subset for Locally Lipschitz Functionals
Applicable Analysis, 2022Fengying Li
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A Convergence Result for Mountain Pass Periodic Solutions of Perturbed Hamiltonian Systems
Communications in Contemporary Mathematics, 2023Joanna Janczewska +2 more
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Multiple Solutions for a Nonlocal Problem
Applied Mathematics Letters, 2023Changmu Chu, Jiaquan Liu
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Mountain Pass Lemma and New Periodic Solutions of the Singular Second Order Hamiltonian System
Boundary Value Problems, 2014Fengying Li
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A Compression Type Mountain Pass Theorem in Conical Shells
Journal of Mathematical Analysis and Applications, 2008Radu Precup
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On Positive Mountain Pass Solutions for a Semilinear Elliptic Boundary Value Problem
Applied Mathematics and Computation, 2005G A Afrouzi
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