fractional differential equationboundary value problemp-Laplacian operatornoncompactness measureIn this paper, we study the solutions for nonlinear fractional differential equations with p-Laplacian operator nonlocal boundary value problem in a Banach space. By means of the technique of the properties of ...
指标分类理论;Prufer方程;解的存在性;非齐次p-Laplacian方程.3AbstractInthispaperwestudytheindexclassificationtheoryofhomogenousp-Laplacianequationsandexistenceofsolutionsofnon—homogenousequationInchapteronewestateafewusualnotations,definitionsandbasicresultsinordinarydifferentialequationsandnonlinearanalysis.Inchaptertwo,we...
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In this section we briefly recall the variational setting of system (S) and the technical lemmas for the real separable reflexive Banach space W, which we use along the paper. Before doing this, let us introduce some useful remarks concerning the vectorial Sobolev norms. As already noted in ...
A variational inequality theory in reflexive smooth Banach spaces Let X be a Banach space and X∗ its dual space. Recall that X is strictly convex if ‖x+y‖≤2 for ≔x,y∈∂B1≔{x∈X:‖x‖=1} with x≠y; is smooth if the limit limt→0t−1(‖x+ty‖−‖x‖) exists...
Stability of the S-essential spectra on a Banach space On (strong) α-favorability of the Vietoris hyperspace The number of split points of a Morse form and the structure of its foliation Graphic representation of MV-algebra pastings Periodic solution to p-Laplacian neutral Liénard type ...
In this paper, we establish several new existence theorems for positive solutions of systems of $(2n,2m)$ -order of two p-Laplacian equations. The results are based on the Krasnosel’skii fixed point theorem and mainly complement those of Djebali, Moussa
(RN), which is not a Hilbert space forp≠2. Another difficulty is the lack of a powerful regularity theory. For the Laplace operator there exists a sequence of Banach spacesE0↪E1↪⋯↪EnwithW1,2↪EnandE0↪C1. But the imbeddingW1,p(RN)↪Lq(RN)(p<q<p∗:=Np/(N−p...
Note that WT1,p(t) is reflexive Banach space, and the functional Φ is weakly lower semicontinuous, applying the least action principle (see [1], Theorem 1.1 and Corollary 1.1), Φ has a minimum point on WT1,p(t), which is a critical point of Φ. The proof is complete. □ Proof...
Using the Banach function space structure and theconcentration compactness type arguments, we provide several characterizations for the compactnessof the map W(u) =RR N|w||u| p dx on D s,p (R N ). In particular, we prove that W is compact onD s,p (R N ) if and only if w ∈ ...