Results 1 to 10 of about 1,150,426 (301)
Boundary regularity of weak solutions to nonlinear elliptic obstacle problems [PDF]
Boundary Value Problems, 2006 We study the boundary regularity of weak solutions to nonlinear obstacle problem with C1,β-obstacle function, and obtain the Cloc1,α boundary regularity.
Chu Yuming, M. Junxia
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Positive solutions for singular (p,q)-Laplacian equations with negative perturbation
Electronic Journal of Differential Equations, 2023 We consider a nonlinear Dirichlet problem driven by the -Laplacian and with a reaction consisting of a singular term plus a negative perturbation. Using regularization of the singular term and truncation and comparison techniques, we show that the ...
Nikolaos S. Papageorgiou +2 more
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Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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Open Mathematics, 2022 In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries ...
Zhao Xiangqing +2 more
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Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
Advances in Mathematical Physics, 2022 In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic ...
Junli Zhang, Jialin Wang
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A weighted (p,2)-equation with double resonance
Electronic Journal of Differential Equations, 2023 We consider a Dirichlet problem driven by a weighted (p,2)-Laplacian with a reaction which is resonant both at \(\pm\infty\) and at zero (double resonance).
Zhenhai Liu, Nikolaos S. Papageorgiou
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Positive solutions for $(p,2)$-equations with superlinear reaction and a concave boundary term
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear boundary value problem driven by the $(p,2)$-Laplacian, with a $(p-1)$-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem).
Nikolaos Papageorgiou, Andrea Scapellato
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Concave-Convex Problems for the Robin p-Laplacian Plus an Indefinite Potential
Mathematics, 2020 We consider nonlinear Robin problems driven by the p-Laplacian plus an indefinite potential. In the reaction, we have the competing effects of a parametric concave (that is, ( p − 1 ) -sublinear) term and of a convex (that is, ( p −
Nikolaos S. Papageorgiou +1 more
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Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term
Mathematical Modelling and Analysis, 2020 We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood
Nikolaos S. Papageorgiou +2 more
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Nonlinear elliptic boundary value problems with convection term and Hardy potential
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel +2 more
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