On Tonelli periodic orbits with low energy on surfaces
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DOI: 10.1090/tran/7185
Abstract: We prove that on a closed surface, a Lagrangian system defined by a Tonelli Lagrangian L L possesses a periodic orbit that is a local minimizer of the free-period action functional on every energy level… read more here.
Keywords: mml stretchy; false mml; stretchy false; mml ... See more keywords
Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent
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DOI: 10.1155/2018/5497172
Abstract: We study existence of a nontrivial solution of-Δpu(x)+u(x)p-1=u(x)q(x)-1, u(x)≥0, x∈RN, u∈Wrad1,p(RN), under some conditions onq(x), especially,lim inf|x|→∞ q(x)=p. Concerning this problem, we firstly consider compactness and noncompactness for the embedding fromWrad1,p(RN)toLq(x)(RN). We point out that the decaying speed ofq(x)at infinity… read more here.
Keywords: mml stretchy; mrow mml; mml; mml mml ... See more keywords
The Characterization of Generalized Jordan Centralizers on Triangular Algebras
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DOI: 10.1155/2018/6037615
Abstract: In this paper, it is shown that if T=Tri(A,M,B) is a triangular algebra and ϕ is an additive operator on T such that (m+n+k+l)ϕ(T2)-(mϕ(T)T+nTϕ(T)+kϕ(I)T2+lT2ϕ(I))∈FI for any T∈T, then ϕ is a centralizer. It follows that… read more here.
Keywords: mml stretchy; math; false mml; stretchy false ... See more keywords
The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces
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DOI: 10.1155/2018/8104901
Abstract: We prove the existence of extremal solutions of the following quasilinear elliptic problem -∑i=1N∂/∂xiai(x,u(x),Du(x))+g(x,u(x),Du(x))=0 under Dirichlet boundary condition in Orlicz-Sobolev spaces W01LM(Ω) and give the enclosure of solutions. The differential part is driven by a… read more here.
Keywords: mml stretchy; mrow mml; mml; mml mml ... See more keywords