1,720,983 research outputs found
Weak heteroclinic solutions and competition phenomena to anisotropic difference equations with variable exponents
No full textTyt. z nagłówka.Bibliogr. s. 744.In this paper, we prove the existence of weak heteroclinic solutions for a family of anisotropic difference equations under competition phenomena between parameters.Dostępny również w formie drukowanej.KEYWORDS: anisotropic difference equations, heteroclinic solutions, discrete Hölder type inequality, competition phenomena
Uniqueness of Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Problems in One Dimension Space
Full text linkWe consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, φ(ux)x= f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L1-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data.We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, φ(ux)x= f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L1-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data
Nonlinear parabolic problems with variable exponent and L1-data
No full textIn this article, we prove the existence and uniqueness of entropy solutions to nonlinear parabolic equation with variable exponent and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent.Mathematic
Non-local boundary anisotropic problem with L1-data and variable exponent
Full text linkIn this work, we study the following anisotropic problem :
, with non-local boundary conditions. We prove an existence and uniqueness of entropy solution for L1-data f
p(.)-ELLIPTIC INCLUSION PROBLEM WITH NATURAL GROWTH TERM AND FOURIER TYPE BOUNBARY CONDITION
Full text linkIn this paper we discuss the existence of renormalized and entropy solutions of nonliear elliptic problems governed by the general p(.)-Leray-Lions type operator with a natural growth term subject to L1 data in the interior of the domain and Fourier type condition on the boundary. We first introduce a sequence of approximated problems by regularizing the data via truncation and Yosida’s method. Then, using the technique of maximal monotone operator in Banach spaces, we prove that the approximated problem is well-posed in term of weak solution. Finally, we pass to the limit and prove that the sequence of approximated solution converges to the entropy or renormalized solutions of the initial given proble
Suitable Radon measure for nonlinear Dirichlet boundary p(u)-Laplacian problem
Full text linkThis paper is devoted to the study of nonlinear homogeneous Dirichlet boundary p(u)-laplacian problem. Existence, uniqueness and structural stability results of weak solutions are obtained by approximation method and convergent sequences in terms of Young measures
Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations
No full textIn this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points theorem, for locally Lipschitz continuous fonctions
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions
No full textThe goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by approximation methods, we prove a result of existence and uniqueness of entropy solution
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