[PDF] Top 20 Nonlinear problem with subcritical exponent in Sobolev space
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Nonlinear problem with subcritical exponent in Sobolev space
... We consider the problem of the scalar curvature on the standard four dimensional half sphere under minimal boundary conditions S:.. This article is distributed under the terms of the Cre[r] ... See full document
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Existence of Weak Solutions for a Class of Quasilinear Parabolic Problems in Weighted Sobolev Space
... with nonlinear perturbation term in weighted Sobolev ...weighted Sobolev space and extending Galerkin’s method to a new class of nonlinear problems, we drive out that there exists at ... See full document
5
The Cauchy problem for the seventh-order dispersive equation in Sobolev space
... 1. Kenig, CE, Ponce, G, Vega, L: Higher-order nonlinear dispersive equations. Proc. Am. Math. Soc. 122, 157-166 (1994) 2. Pilod, D: On the Cauchy problem for higher-order nonlinear dispersive ... See full document
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A global compactness result for a critical nonlinear Choquard equation in \(\mathbb{R} ^{N}\)
... elliptic problem with critical Sobolev nonlinear- ities on the bounded domains was obtained by Struwe [31] and Lions ...critical Sobolev and Hardy exponents in bounded domains and in R N , ... See full document
16
Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent
... the problem is not a pointwise identity, which causes additional mathematical ...Dirichlet problem of Kirchhoff type and proved the existence and asymptotic behavior to ...type problem with ... See full document
17
Multiple Solutions for an Elliptic Equation with Hardy Sobolev Critical Exponent, Hardy Sobolev Maz’ya Potential and Sign Changing Weights
... Our motivation of this study is the fact that such equations arise in the search for solitary waves of nonlinear evolution equations of the Schrodinger or Klein- Gordon type. Roughly speaking, a solitary wave is a ... See full document
13
Solutions for the quasi linear elliptic problems involving the critical Sobolev exponent
... We should mention that Liu, Guo and Lei [] studied the existence and multiplicity of positive solutions of Kirchhoff equation with critical exponential nonlinearity. Inspired by [, ], we study the problem ... See full document
20
On a geometric equation involving the Sobolev trace critical exponent
... a nonlinear elliptic equation involving the Sobolev trace critical exponent associated to conformal deformations of Riemannian metrics on manifolds with ...curvature problem (see ... See full document
25
Existence of Solutions for the -Laplacian Problem with Singular Term
... variable exponent spaces, for example, see 2–5 for the properties of such spaces and 6–9 for the applications of variable exponent spaces on partial differential ...in nonlinear elastic mechanics and ... See full document
20
ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES
... Moreover, problem (1) posses more complicated nonlinearities, for example, it is inho- mogeneous, so in the discussions, some special techniques will be ... See full document
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Table of contents and abstracts
... In this paper, we present a numerical algorithm for computing products of the form R KR T , where R, R T , and K are sparse matrices. By reformulating the problem into the simultaneous processing of a sequential ... See full document
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Trace operator and a nonlinear boundary value problem in a new space
... deal with the boundary value problems. We state and prove it in Section . We also discuss the non-existence of non-trivial solutions for the problem () if the given function f is of fast growth. To be more ... See full document
13
On the completeness and the basis property of the modified Frankl problem with a nonlocal oddness condition in the Sobolev space \((W^{1} {p}(0,\pi))\)
... Frankl problem was considered in []. The problem was further developed in [], ...Frankl problem with a nonlocal bound- ary condition of the first kind was studied in [, ...Frankl problem ... See full document
7
Symmetrization of Functions and the Best Constant of 1 DIM Sobolev Inequality
... From Lemma 1.3, we see that if the maximizer exists, it is the element of W : W ∩ W . So, we can restrict the definition domain of S to W. Since W is convex and strongly closed by Sobolev inequality in W 0 m,p −s, ... See full document
12
WAVELET PACKETS IN WEIGHTED SOBOLEV SPACE
... Abstract. We perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. MRA based wavelet packet functions and their or- thogonality at different levels in ... See full document
12
Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces
... method for differential equations of divergence form to prove the existence of weak so- lutions for (.) with Dirichlet boundary or Neumann boundary condition in separable Musielak-Orlicz-Sobolev spaces. We give ... See full document
19
Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... We study the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex nonlinearities. By using a suitable version of the dual ... See full document
10
Sobolev space, Besov space and Triebel Lizorkin space on the Laguerre hypergroup
... a Sobolev space on the dual of the Laguerre hyper- group and a generalized Besov space on the Laguerre ...a Sobolev space on the Laguerre hypergroup by the Bessel ...Besov space ... See full document
19
Generalizations of Troisi’s inequality in weighted p Sobolev spaces with singularities
... We extend classical Troisi’s inequality to the weighted p-Sobolev spaces on stretched cone, edge, and corner respectively. The results here can be used to investigate anisotropic elliptic equations involving cone ... See full document
16
Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)
... value problem for a two-dimensional generalized Zakharov system with quantum ...value problem in the Sobolev space through making a priori integral estimates and the Galerkin ... See full document
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