Results 101 to 110 of about 1,440 (207)
Ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems
Boundary Value Problems, 2018 This paper is concerned with the existence of ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems in R3 $\mathbb {R}^{3}$ which have appeared in plasma physics, as well as in the description of high-power ultrashort ...
Liejun Shen
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Existence of positive solutions for superlinear p-Laplacian equations
Electronic Journal of Differential Equations, 2015 We obtain a positive solution for a superlinear p-Laplacian equations with the Dirichlet boundary-value conditions. Our main tool is a variation of the mountain pass theorem.
Ting-Mei Gao, Chun-Lei Tang
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Advances in Difference Equations, 2019 In this paper, we study the following nonlinear Klein–Gordon–Maxwell system: {−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+λh(x)|u|q−2u,x∈R3,Δϕ=(ω+ϕ)u2,x∈R3,(Pλ) $$ \textstyle\begin{cases} -\Delta u+ V(x)u-(2\omega +\phi )\phi u = f(x,u)+\lambda h(x) \vert u \vert ^{q-2}u,
Chongqing Wei, Anran Li
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Soliton Solutions for Quasilinear Schrödinger Equations
Journal of Applied Mathematics, 2013 By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
Junheng Qu
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Mountain Pass Theorem With infinite symmetry
, 2012 We extend a work of Bartsch, Clapp and Puppe on the Mountain pass theorems. We consider functionals invariant with respect to infinite discrete groups satisfying a maximality condition on the finite subgroups.
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Critical Point Theory for Indefinite Functionals with Symmetries [PDF]
, 1996 LetXbe a Hilbert space andφ∈C1(X, R) be strongly indefinite. Assume in addition that a compact Lie groupGacts orthogonally onXand thatφis invariant. In order to find critical points ofφwe develop the limit relative category of Fournieret al.
Clapp, Mónica, Bartsch, Thomas
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
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Mountain pass solutions and an indefinite superlinear elliptic problem on $\mathbb R^{\mathbb N}$ [PDF]
, 2003 We consider the elliptic problem $$ -\Delta u-\lambda u=a(x) g(u), $$ with $a(x)$ sign-changing and $g(u)$ behaving like $u^p$, $p> 1$. Under suitable conditions on $g(u)$ and $a(x)$, we extend the multiplicity, existence and nonexistence results known
Du, Yihong, Guo, Yuxia
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Mountain Pass Solutions and an Indefinite Superlinear Elliptic Problem on ℝ^N [PDF]
, 2009 We consider the elliptic problem -Δu - λu = a(x)g(u), with a(x) sign-changing and g(u) behaving like u^p, p > 1. Under suitable conditions on g(u) and a(x), we extend the multiplicity, existence and nonexistence results known to hold for this equation
Du, Yihong, Guo, Yuxia
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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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