Results 281 to 290 of about 211,213 (315)

Infinitely many solutions of dirichlet problem for p-mean curvature operator

Applied Mathematics-A Journal of Chinese Universities, 2003
Let \(\Omega\) be a bounded domain in \({\mathbb R}^n\) with smooth boundary \(\partial \Omega\). The authors consider the following Dirichlet problem for the \(p\)-mean curvature operator: \[ -\text{div} ((1+|\nabla u|^2)^{\frac{p-2}{p}} \nabla u) = f(x, u), \quad x \in \Omega, \qquad u\in W^{1,p}_0(\Omega) \quad (n>p>1). \] Note that in case \(p=2\),
Chen, Zhihui, Shen, Yaotian
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Weak solutions of a discrete Robin problem involving the anisotropic \(\vec{p}\)-mean curvature operator

Cubo (Temuco)
This work investigates the existence and uniqueness of a solution to a discrete Robin boundary value problem involving the anisotropic \(\vec{p}\)-mean curvature operator.
Brahim Moussa, Ismael Nyanquini, S. Ouaro   +2 more
semanticscholar   +1 more source

A weighted quasilinear equation related to the mean curvature operator

Nonlinear Analysis: Theory, Methods & Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cano-Casanova, Santiago, López-Gómez, Julián, Takimoto, Kazuhiro   +2 more
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Integral Formulas for the r-Mean Curvature Linearized Operator of a Hypersurface

Annals of Global Analysis and Geometry, 1998
Let \(x:M^n \to Q^{n+1}_{c} \) be an isometric immersion of a compact oriented Riemannian manifold \(M^n\) into a simply connected space form \( Q^{n+1}_{c} \). We denote by \(S_{r}\) the \(r\)-mean curvature of \(M^n \) and by \(L_{r}\) \((0\leq r\leq n-1)\) the linearized operator of \(S_{r+1}\) arising from normal variations of \(x\) given by \(L_{r}
Alencar, Hilario, Colares, A. Gervasio
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A constant mean curvature surface and the Dirac operator

Journal of Physics A: Mathematical and General, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Parabolic Equation with a Mean-Curvature Type Operator

1992
The classical mean-curvature operator arises in geometry, and is given by. Mathematically this operator is of particular interest because of its degeneracy for large gradients. The same type of operators arises also in thermodynamical context in the theory of convex free energy functionals, which are asymptotically linear as the gradient tends to ...
Michiel Bertsch, Roberta Dal Passo
openaire   +1 more source

Global structure of one-sign solutions for problem with mean curvature operator

Nonlinearity, 2018
We establish a unilateral global bifurcation result for the following problem where Ω is a bounded domain in . Based on this global bifurcation result, we also studied the global structure of one-sign solutions according to different asymptotic behaviors
Guowei Dai
semanticscholar   +1 more source

Existence of solutions for a class of heat equations involving the mean curvature operator

Analysis and Mathematical Physics, 2023
C. O. Alves, Tahir Boudjeriou
semanticscholar   +1 more source

Unilateral global interval bifurcation for problem with mean curvature operator in Minkowski space and its applications

Applied Mathematics-A Journal of Chinese Universities, 2022
Wenbo Shen
semanticscholar   +1 more source

Positive radial solutions for Dirichlet problem of quasilinear differential system with mean curvature operator in Minkowski space

Journal of Fixed Point Theory and Applications, 2021
Ruyun Ma, Zhiqian He
semanticscholar   +1 more source