共查询到20条相似文献,搜索用时 15 毫秒
1.
Xiao-Jiao HuangXing-Ping Wu Chun-Lei Tang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(7):2602-2611
The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concave-convex nonlinearity by variational methods and some analysis techniques. 相似文献
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In this paper we study the following nonperiodic second order Hamiltonian systems
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The existence of catΩ(Ω) positive solutions for the p-Laplacian system with convex and Sobolev critical nonlinearities is obtained by some standard variational methods, whose key is to construct homotopies between Ω and levels of the functional Jλ,μ, and some analytical techniques. 相似文献
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Zhixin Cheng 《Journal of Mathematical Analysis and Applications》2008,340(1):558-568
Schonbek [M.E. Schonbek, Convergence of solutions to nonlinear dispersive equations, Comm. Partial Differential Equations 7 (1982) 959-1000] obtained the strong convergence of uniform bounded approximate solutions to hyperbolic scalar equation under the assumption that the flux function is strictly convex. While in this paper, by constructing four families of Lax entropies, we succeed in dealing with the non-convexity with the aid of the well-known Bernstein-Weierstrass theorem, and obtaining the strong convergence of uniform L∞ or bounded viscosity solutions for scalar conservation law without convexity. 相似文献
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Ravi P. Agarwal Claudio Cuevas Herme Soto 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(5):1769-1798
This work deals with the existence and uniqueness of pseudo-almost periodic and asymptotically ω-periodic mild solutions to some evolution equations in Banach spaces. 相似文献
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Maisa Khader 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(12):3945-3963
We study the long time behavior of solutions for damped wave equations with absorption. These equations are generally accepted as models of wave propagation in heterogeneous media with space-time dependent friction a(t,x)ut and nonlinear absorption |u|p−1u (Ikawa (2000) [17]). We consider 1<p<(n+2)/(n−2) and separable a(t,x)=λ(x)η(t) with λ(x)∼(1+|x|)−α and η(t)∼(1+t)−β satisfying conditions (A1) or (A2) which are given. The main results are precise decay estimates for the energy, L2 and Lp+1 norms of solutions. We also observe the following behavior: if α∈[0,1), β∈(−1,1) and 0<α+β<1, there are three different regions for the decay of solutions depending on p; if α∈(−∞,0) and β∈(−1,1), there are only two different regions for the decay of the solutions depending on p. 相似文献
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Hideyuki Miura 《Journal of Functional Analysis》2005,218(1):110-129
We investigate a limiting uniqueness criterion to the Navier-Stokes equations. We prove that the mild solution is unique under the class , where bmo-1 is the “critical” space including Ln. As an application of uniqueness theorem, we also consider the local well-posedness of Navier-Stokes equations in bmo-1. 相似文献
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Manwai Yuen 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(4):1465-1470
In this paper, we study the blowup of the N-dim Euler or Euler-Poisson equations with repulsive forces, in radial symmetry. We provide a novel integration method to show that the non-trivial classical solutions (ρ,V), with compact support in [0,R], where R>0 is a positive constant and in the sense which ρ(t,r)=0 and V(t,r)=0 for r≥R, under the initial condition
(1) 相似文献
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Lixin Tian Yuexia ChenYue Liu Ying Gao 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(8):2802-2812
This paper studies low-regularity solutions of the periodic general Degasperis-Procesi equation with an initial value. The existence and the uniqueness of solutions are proved. The results are illustrated by considering the periodic peakons of the periodic general Degasperis-Procesi equation. 相似文献
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The closed Dirichlet problem for an elliptic-hyperbolic equation arising in linearizing the Monge-Ampère type equation is shown to admit a distributional solution by using an a-b-c integral method. 相似文献
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Felix Sadyrbaev Inara Yermachenko 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(12):e176
A quasi-linear boundary value problem has a solution with properties induced by oscillatory properties of the linear part of an equation. This result is proved for two dimensional systems. Consequences for Φ-Laplacian equations and problems with resonant linear parts are discussed. 相似文献
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Carlos Lizama 《Journal of Mathematical Analysis and Applications》2006,324(2):921-933
In this paper we characterize the existence and uniqueness of periodic solutions of inhomogeneous abstract delay equations and establish maximal regularity results for strong solutions. The conditions are obtained in terms of R-boundedness of linear operators determined by the equations and Lp- Fourier multipliers. Periodic mild solutions are also studied and characterized. 相似文献
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Feizhi Wang 《Journal of Mathematical Analysis and Applications》2007,331(2):1001-1022
We consider a class of nonlinear Schrödinger equation with indefinite linear part in RN. We prove that the problem has at least three nontrivial solutions by means of Linking Theorem and (∇)-Theorem. 相似文献
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In this paper, we consider a Dirichlet problem involving the p(x)-Laplacian of the type We prove the existence of infinitely many non-negative solutions of the problem by applying a general variational principle due to B. Ricceri and the theory of the variable exponent Sobolev spaces. 相似文献
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Chun LiZeng-Qi Ou Chun-Lei Tang 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(4):2262-2272
Some existence theorems are obtained for periodic and subharmonic solutions of a class of non-autonomous Hamiltonian systems. Our technical approach is based on a version of the Local Linking Theorem, and the Generalized Mountain Pass Theorem. 相似文献
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Chunshan Zhao 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(11):4188-4199
We continue our work (Y. Li, C. Zhao, Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem, J. Math. Anal. Appl. 336 (2007) 1368-1383) to study the shape of least-energy solutions to the quasilinear problem εmΔmu−um−1+f(u)=0 with homogeneous Neumann boundary condition. In this paper we focus on the case 1<m<2 as a complement to our previous work on the case m≥2. We use an intrinsic variation method to show that as the case m≥2, when ε→0+, the global maximum point Pε of least-energy solutions goes to a point on the boundary ∂Ω at a rate of o(ε) and this point on the boundary approaches a global maximum point of mean curvature of ∂Ω. 相似文献
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Yanqin Fang 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2767-2778
In this paper we consider systems of p-q-Laplacian elliptic equations with critical Sobolev exponent. The existence and multiplicity results of solutions are obtained by a limit index method. 相似文献