Multiple solutions for a problem with resonance involving the p-Laplacian by C. O. Alves, P. C. Carrião, O. H. Miyagaki

Subjects: Get full text

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

Subjects: Get full text

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

Subjects: Get full text

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

Subjects: Get full text

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. …”
Get full text

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.…”
Get full text

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.…”
Get full text

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.…”
Get full text

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.…”
Get full text

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. …”
Get full text

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.…”
Get full text

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.…”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions by Yuan Shan, Baoqing Liu

“…We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.…”
Get full text

Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems by Jingli Xie, Zhiguo Luo, Guoping Chen

“…This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a homoclinic solution of our problem.…”
Get full text

Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials by Defang Ma, Zhan Zhou

“…New sufficient conditions of the existence and multiplicity results of homoclinic solutions for the difference equations are obtained by making use of the mountain pass theorem and the fountain theorem, respectively. …”
Get full text

Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem by Xian Hu, Yong-Yi Lan

“…The main tools are variational method, critical point theory, and mountain-pass theorem.…”
Get full text

Multiplicity of Quasilinear Schrödinger Equation by Xiaorong Luo, Anmin Mao, Xiangxiang Wang

“…When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some new techniques and dual fountain theorem. …”
Get full text