Results 1 to 10 of about 268 (76)
Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
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Construction of Solutions for Hénon-Type Equation with Critical Growth
Advanced Nonlinear Studies, 2021 We consider the following Hénon-type problem with critical growth:
Guo Yuxia, Liu Ting
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Capillary Schwarz symmetrization in the half-space
Advanced Nonlinear Studies, 2023 In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space.
Lu Zheng, Xia Chao, Zhang Xuwen
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Gradient estimate of the solutions to Hessian equations with oblique boundary value
Advanced Nonlinear Studies, 2022 In this paper, we study Hessian equations with the prescribed contact angle boundary value or oblique derivative boundary value and finally derive the a priori global gradient estimate for the admissible solutions.
Wang PeiHe
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New class of sixth-order nonhomogeneous p(x)-Kirchhoff problems with sign-changing weight functions
Advances in Nonlinear Analysis, 2021 In this paper, we prove the existence of multiple solutions for the following sixth-order p(x)-Kirchhoff-type ...
Hamdani Mohamed Karim +2 more
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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator
Moroccan Journal of Pure and Applied Analysis, 2022 In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s ...
Karim Belhadj +3 more
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Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 18, Page 913-948, 2004., 2004 We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in the capillarity problem and the boundary values in ...
Fei-Tsen Liang
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Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 11, Page 541-570, 2004., 2004 Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two‐dimensional version of these equations is transformed to the form of one dynamic equation for the stream function. This equation contains arbitrary function which is determined by inflow conditions given on the boundary.
Yuri A. Rylov
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Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains
Advanced Nonlinear Studies, 2021 We deal with Dirichlet problems of the ...
Molle Riccardo, Passaseo Donato
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