Results 11 to 20 of about 869,106 (168)
Advances in Difference Equations, 2019 In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Liang Ding, Jinlong Wei, Shiqing Zhang
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The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in
Abstract and Applied Analysis, 2013 Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class of p-Kirchhoff-type elliptic equations in .
Zonghu Xiu
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Existence Results for a px-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition [PDF]
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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Existence of Solutions for Higher Order Bvp with Parameters via Critical Point Theory
Demonstratio Mathematica, 2015 This paper is concerned with the existence of at least one solution of the nonlinear 2k-th order BVP. We use the Mountain Pass Lemma to get an existence result for the problem, whose linear part depends on several parameters.
Jurkiewicz Mariusz, Przeradzki Bogdan
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Existence of solitons for discrete nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2016 By using the Mountain Pass Lemma, we establish sufficient conditions for the existence of solitons for the discrete nonlinear Schrodinger equations.
Haiping Shi, Yuanbiao Zhang
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Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth [PDF]
Abstract and Applied Analysis, 2012 We investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.
Guoqing Zhang, Jing Sun
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Fractional elliptic problems with two critical Sobolev-Hardy exponents [PDF]
Electronic Journal of Differential Equations, 2018 By using the mountain pass lemma and a concentration compactness principle, we obtain the existence of positive solutions to the fractional elliptic problem with two critical Hardy-Sobolev exponents at the origin.
Wenjing Chen
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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 This paper is devoted to study the existence of solutions and their regularity in the p(t)–Laplacian Dirichlet problem on a bounded time scale. First, we prove a lemma of du Bois–Reymond type in time-scale settings. Then, using direct variational methods
Mawhin J +2 more
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A critical elliptic equation with a logarithmic type perturbation [PDF]
Electronic Journal of Qualitative Theory of Differential EquationsIn this note, we consider a critical elliptic equation perturbed by a logarithmic type subcritical term in $\mathbb{R}^4$, and investigate how the logarithmic term affects the existence of weak solutions to such a problem. Since the logarithmic term does
Haixia Li, Yuzhu Han
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Electronic Journal of Differential Equations, 2016 In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.
Rui-Ting Jiang, Chun-Lei Tang
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