Soliton Solutions for Quasilinear Schrödinger Equations
Journal of Applied Mathematics, 2013 By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
Junheng Qu
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New Quantitative Deformation Lemma and New Mountain Pass Theorem
, 2014 In this paper, we obtain a new quantitative deformation Lemma so that we can obtain more critical points, especially for supinf critical value $c_1$, $x= ^{-1}(c_1)$ is a new critical point. For $infmax$ critical value $c_2$, we can obtain two new critical points $x = 0$ (valley point) and $x = e$(peak point) ,comparing with Willem's variant of the ...
Ding, Liang, Zhang, Fode, Zhang, Shiqing
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A Mountain-pass Theorem in Hyperbolic Space and its Application
, 2022 We develop a min-max theory for certain complete minimal hypersurfaces in hyperbolic space. In particular, we show that given two strictly stable minimal hypersurfaces that are both asymptotic to the same ideal boundary, there is a new one trapped between the two.
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Existence Results for a px-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition
Journal of Applied Mathematics, 2013 We consider the existence and multiplicity of solutions for the px-Kirchhoff-type equations without Ambrosetti-Rabinowitz condition. Using the Mountain Pass Lemma, the Fountain Theorem, and its dual, the existence of solutions and infinitely many ...
Libo Wang, Minghe Pei
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
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Existence of solutions for Kirchhoff type equations
Electronic Journal of Differential Equations, 2015 In this article, we prove the existence of solutions for Kirchhoff type equations with Dirichlet boundary-value condition. We use the Mountain Pass Theorem in critical point theory, without the (PS) condition.
Qi-Lin Xie, Xing-Ping Wu, Chun-Lei Tang
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A Generalized Mountain Pass Theorem
, 2016 2010 Mathematics Subject Classification: 58E05, 58E30.
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Mountain pass theorems for non-differentiable functions and applications
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lamina Influences on Tensile Strength of Shallow Marine Shales from Upper Ordovician, Western Ordos Basin. [PDF]
ACS Omega, 2023 Wang D, Liu Z.
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Nutrigonometry III: curvature, area and differences between performance landscapes. [PDF]
R Soc Open Sci, 2022 Morimoto J, Conceição P, Smoczyk K.
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