Results 11 to 20 of about 247 (144)
Open Mathematics, 2023 The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang +2 more
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
Open Mathematics, 2023 In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
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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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A bounded mountain pass lemma without the (PS) condition and applications [PDF]
Transactions of the American Mathematical Society, 1992 The author's generalization of the fundamental mountain pass lemma is the following: Theorem. Let \(G(u)\in C^ 1(H,R^ 1)\), \(u_ k\) converging weakly to \(u\), \(| G(u_ k)|\leq c\), \(G'(u_ k)\to 0\), imply that \(G'(u)=0\). Assume that \(H=N\oplus M\), \(\dim N0\), such that \[ c_ 0\equiv\max_{bdy\{v\in N\mid\| v\|\leq R_ 0\}}G0 ...
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Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition
Boundary Value Problems, 2009 In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass
Fanglei Wang, Yukun An
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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 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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Some Applications of Generalized Mountain Pass Lemma
, 2014 The Ghoussoub-Preiss's generalized Mountain Pass Lemma with Cerami-Palais-Smale type condition is a generalization of classical MPL of Ambrosetti-Rabinowitz, we apply it to study the existence of the periodic solutions with a given energy for some second order Hamiltonian systems with symmetrical and non-symmetrical potentials.
Li, Fengying, Li, Bingyu, Zhang, Shiqing
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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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Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth
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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