Results 21 to 30 of about 662 (108)
Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms
Differential Equations & Applications, 2021 In this paper, we consider a class of fractional p -Laplacian system with three fractional critical Sobolev-Hardy exponents. By the Ekeland variational principle and the MountainPass theorem, we study the existence and multiplicity of positive solutions ...
I. Dehsari, N. Nyamoradi
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Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011 We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation divaε(x, ∇uε) = divbε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist +4 more
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On double phase Kirchhoff problems with singular nonlinearity
Advances in Nonlinear Analysis, 2023 In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
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[Retracted] Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
Journal of Function Spaces, Volume 4, Issue 3, Page 225-242, 2006., 2006 We study the boundary value problem −div?((|?u|p1(x)−2 + |?u|p2(x)−2)?u) = f(x, u) in O, u = 0 on ?O, where O is a smooth bounded domain in RN. We focus on the cases when f±(x, ??u) = ±(−?|u|m(x)−2u + |u|q(x)−2u), where m(x)?max??{p12(x),p(x)}
Teodora-Liliana Dinu, George Isac
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East Asian Journal on Applied Mathematics, 2018 A partially penalised immersed finite element method for interface problems with discontinuous coefficients and non-homogeneous jump conditions based on unfitted meshes independent of the interface is proposed.
Haifeng Ji
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Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 46, Page 2453-2472, 2004., 2004 This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave‐convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of ...
Abdallah El Hamidi
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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
Moroccan Journal of Pure and Applied Analysis, 2020 Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
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Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces [PDF]
, 2016 We study a non-homogeneous boundary value problem in a smooth bounded domain in R . We prove the existence of at least two nonnegative and non-trivial weak solutions.
Mihai Mihuailescu, Dušan D. Repovš
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On the economical solution method for a system of linear algebraic equations
Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 377-410, 2004., 2004 The present work proposes a novel optimal and exact method of solving large systems of linear algebraic equations. In the approach under consideration, the solution of a system of algebraic linear equations is found as a point of intersection of hyperplanes, which needs a minimal amount of computer operating storage. Two examples are given.
Jan Awrejcewicz +2 more
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Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term
Moroccan Journal of Pure and Applied Analysis, 2020 This paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ.
Laghzal Mohamed +3 more
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