Multiplicity results for Schrodinger type fractional p-Laplacian boundary value problems by Emer Lopera, Leandro Recova, Adolfo Rumbos

Subjects: “…mountain pass theorem…”
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Multiple solutions for a problem with resonance involving the p-Laplacian by C. O. Alves, P. C. Carrião, O. H. Miyagaki

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N-Laplacian equations in ℝN with critical growth by João Marcos B. do Ó

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Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups by Wenjing Chen, Fang Yu

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On the solvability of a higher-order semilinear ODE by Cristian-Paul Danet

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Elliptic equations in $ \mathbb{R}^2 $ involving supercritical exponential growth by Yony Raúl Santaria Leuyacc

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La figure paysagère du col de montagne au double prisme des pratiques cyclotouristiques et de trekking : expériences, imaginaires et fonctions symboliques by Yannick Hascoët, Louis Violette, Pierre Dérioz, Tania Jiménez, Philippe Bachimon

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The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry by Delphin Mwinken

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Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects by Qiongfen Zhang

“…Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory. …”
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Ground-state solutions of a Hartree–Fock type system involving critical Sobolev exponent by Xiaoli Zhu, Zushun Min

“…-S.) condition and estimating the mountain-pass critical level, a perturbation method is used to recover compactness obtain the existence of ground-state solutions. …”
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Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems by Long Yuhua

“…Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not satisfy the global Ambrosetti-Rabinowitz condition.…”
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On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent by Mohammed El Mokhtar ould El Mokhtar

“…By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.…”
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On a Class of Schrödinger System Problem in Orlicz–Sobolev Spaces by H. El-Houari, L. S. Chadli, H. Moussa

“…Using the mountain pass theorem, we obtain the existence of a nontrivial and nonnegative weak solution of a quasi-linear Schrödinger system driven by the ω⋅-Laplacian operator in Orlicz–Sobolev spaces.…”
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian by Qing-Mei Zhou

“…More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions.…”
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Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation by Liu Yang

“…In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. …”
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Soliton Solutions for Quasilinear Schrödinger Equations by Junheng Qu

“…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.…”
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Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth by Guoqing Zhang, Jing Sun

“…Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.…”
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The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents by M. Khiddi

“…Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. …”
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Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions by Jie Liu, Qing Miao

“…When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions.…”
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Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations by Qinqin Zhang

“…We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. …”
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