Results 1 to 10 of about 42,010 (103)
Well-posedness and behaviors of solutions to an integrable evolution equation
Boundary Value Problems, 2020 This work is devoted to investigating the local well-posedness for an integrable evolution equation and behaviors of its solutions, which possess blow-up criteria and persistence property.
Sen Ming, Shaoyong Lai, Yeqin Su
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The initial-boundary value problem for a class of third order pseudoparabolic equations
Boundary Value Problems, 2020 In this paper, a priori estimate for a linear third pseudoparabolic operator with bound is established, and applying the above result, the existence and uniqueness theorem of solutions for a class of nonlinear pseudoparabolic equations is obtained with ...
Yanqing Feng, Limin Guo, Zhongying Wang
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Existence of positive solutions for nonlocal problems with indefinite nonlinearity
Boundary Value Problems, 2020 In this paper, we consider the following new nonlocal problem: { − ( a − b ∫ Ω | ∇ u | 2 d x ) Δ u = λ f ( x ) | u | p − 2 u , x ∈ Ω , u = 0 , x ∈ ∂ Ω , $$\left \{ \textstyle\begin{array}{l@{\quad}l} - (a-b\int_{\varOmega} \vert \nabla u \vert ^{2}\,dx )\
Xiaotao Qian, Wen Chao
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Boundary Value Problems, 2008 This paper is concerned with nonhomogeneous multipoint boundary value problems of second-order differential equations with one-dimensional p-Laplacian. Sufficient conditions to guarantee the existence of at least three solutions (may be not positive) of ...
Xingyuan Liu
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Second-order estimates for boundary blowup solutions of special elliptic equations
Boundary Value Problems, 2006 We find a second-order approximation of the boundary blowup solution of the equation Δu=eu|u|β−1, with β>0, in a bounded smooth domain Ω⊂RN. Furthermore, we consider the equation Δu=eu+eu.
Giovanni Porru +2 more
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Existence Result for a Class of Elliptic Systems with Indefinite Weights in R2
Boundary Value Problems, 2008 We obtain the existence of a nontrivial solution for a class of subcritical elliptic systems with indefinite weights in R2. The proofs base on Trudinger-Moser inequality and a generalized linking theorem introduced by Kryszewski and Szulkin.
Sanyang Liu, Guoqing Zhang
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Boundary Value Problems, 2019 In this paper, by studying the solutions of the abstract operator equation A(x,x)+B(x,x)+e=x $A(x,x)+B(x,x)+e=x$ on ordered Banach spaces, where A, B are two mixed monotone operators and e∈P $e\in P$ with θ≤e≤h $\theta \leq e\leq h$, we prove a class of ...
Yanbin Sang, Yan Ren
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Boundary Value Problems, 2018 In this paper, we continue to study the initial boundary value problem of the quasi-linear pseudo-parabolic equation ut−△ut−△u−div(|∇u|2q∇u)=up $$ u_{t}-\triangle u_{t}-\triangle u-\operatorname{div}\bigl(| \nabla u|^{2q}\nabla u\bigr)=u^{p} $$ which was
Gongwei Liu, Ruimin Zhao
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Bound and ground states for a class of Schrödinger–Poisson systems
Boundary Value Problems, 2019 We are concerned with the following Schrödinger–Poisson system: {−Δu+u+K(x)ϕu=a(x)u3,x∈R3,−Δϕ=K(x)u2,x∈R3. $$ \textstyle\begin{cases} -\Delta u+u+K(x)\phi u=a(x)u^{3},& x\in \mathbb{R}^{3}, \\ -\Delta \phi =K(x)u^{2}, & x\in \mathbb{R}^{3}. \end{cases} $$
Fubao Zhang, Li Cai
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Boundary Value Problems, 2018 In this paper, we consider a one-dimensional mean curvature equation in Minkowski space and the corresponding one-parameter problem. By using a fixed point theorem of cone expansion and compression of norm type, the existence and multiplicity of positive
Minghe Pei, Libo Wang, Xuezhe Lv
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