Results 191 to 200 of about 51,428 (221)
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Superposition principle on the viscosity solutions of infinity Laplace equations
Nonlinear Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong, Guanghao, Feng, Xiaomeng
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Boundary behavior of large viscosity solutions to infinity Laplace equations
Zeitschrift für angewandte Mathematik und Physik, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Blow-up rates of large solutions for infinity Laplace equations
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An evolution infinity Laplace equation modelling dynamic elasto-plastic torsion
Analysis and Mathematical Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Analysis, 2018
The paper addresses the Dirichlet problem for the inhomogeneous infinity Laplace equation on a bounded convex domain showing differentiability properties of the viscosity solution.
Feng, Xiaomeng, Hong, Guanghao
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The paper addresses the Dirichlet problem for the inhomogeneous infinity Laplace equation on a bounded convex domain showing differentiability properties of the viscosity solution.
Feng, Xiaomeng, Hong, Guanghao
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Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
Communications in Partial Differential Equations, 2005ABSTRACT The existence of a nontrivial solution for quasi-linear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.
Cingolani, S., Degiovanni, M.
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On the regularity of solutions of the inhomogeneous infinity Laplace equation
Proceedings of the American Mathematical Society, 2013The paper deals with the regularity of solutions of an inhomogeneous infinity Laplace equation, in the unit ball \(B_1\): \[ \begin{cases}\bigtriangleup_{\infty}u=u_{x_i}u_{x_j}u_{x_i x_j}=f &\text{in}\,\, \Omega \\ u=g & \text{on}\,\, \partial B_1 . \end{cases} \] with \(f \in L^{\infty}(B_1)\cap C^0(B_1)\) and \(g \in C^0(\partial B_1)\).
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Limits of Solutions ofp-Laplace Equations aspGoes to Infinity and Related Variational Problems
SIAM Journal on Mathematical Analysis, 2005We show that the convergence, as $p\to\infty$, of the solution $u_p$ of the Dirichlet problem for $-\Delta_p u(x)=f(x)$ in a bounded domain $\Omega\subset{\hbox{\bf R}}^n$ with zero-Dirichlet boundary condition and with continuous f in the following cases: (i) one-dimensional case, radial cases; (ii) the case of no balanced family; and (iii) two cases ...
H. ISHII, LORETI, Paola
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Overdetermined Boundary Value Problems for the Infinity Laplace Equation
Pure Mathematics, 2021openaire +1 more source