Results 21 to 30 of about 79 (76)
, 2022 This paper is concerned by the study of the existence of nonnegative and nonpositive solutions for a nonlocal quasilinear Kirchhoff problem by using the Mountain Pass lemma technique.
TOUFIK, Moussaoui, IMANE, Melzi
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Some class of nonlinear inequalities with gradient constraints in Orlicz spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
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Advances in Nonlinear Analysis, 2021 In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El +2 more
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Eigenvalues for a combination between local and nonlocal p-Laplacians
, 2019 In this paper we study the Dirichlet eigenvalue problem −Δpu − ΔJ,pu = λ|u| p−2u in Ω, u = 0 in Ωc = RN \ Ω. Here Ω is a bounded domain in RN , Δpu is the standard local p-Laplacian and ΔJ,pu is a nonlocal p-homogeneous operator of order zero.
Ferreira, Raúl +2 more
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Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Connections between coupling and Ishii-Lions methods for tug-of-war with noise stochastic games
Advances in Nonlinear AnalysisWe present a streamlined account of two different regularity methods as well as their connections. We consider the coupling method in the context of tug-of-war with noise stochastic games, and consider viscosity solutions of the p-Laplace equation in the
Anttila Riku +2 more
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Advanced Nonlinear StudiesIn this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in Rn ${\mathbb{R}}^{n}$ with n ≥ 4 and p > p n for some number pn∈n3,n+13 ${p}_{n}\in \left(\frac{n}{3},\frac{n+1}{3}\right)$ such that pn∼n3+1n $
Vétois Jérôme
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A-priori bounds for quasilinear problems in critical dimension
Advances in Nonlinear Analysis, 2019 We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
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An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
Advances in Nonlinear Analysis, 2015 We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.
Del Pezzo Leandro +3 more
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Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method
Advances in Nonlinear Analysis, 2018 We study the regularity theory of quasi-minimizers of functionals with Lp(⋅)logL{L^{p(\,\cdot\,)}\log L}-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Hölder continuity of the quasi-minimizers ...
Ok Jihoon
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