Entire solutions of quasilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2009 The author studies the entire solutions of non-homogeneous quasilinear elliptic equations for which the following two may serve as typical examples: \[ \begin{aligned} \Delta_pu\equiv \text{div}(|Du|^{p-2}Du) &=f(u), \quad p>1,\;x\in\mathbb R^n, \tag{1}\\ \text{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) &=f(u), \quad x\in\mathbb R^n.
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A link between the steepest descent method and fixed-point iterations. [PDF]
Optim Lett, 2023 Heid P.
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Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
Electronic Journal of Differential Equations, 2004 This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
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ON EXISTENCE OF WEAK SOLUTIONS OF NEUMANN PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING p-LAPLACIAN IN AN UNBOUNDED DOMAIN [PDF]
, 2011 Trinh Thi Minh Hang, Hoang Quoc Toan
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On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]
Arch Ration Mech Anal, 2023 Borghini S, Chruściel PT, Mazzieri L.
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The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]
Arch Ration Mech Anal, 2022 Disconzi MM, Ifrim M, Tataru D.
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Electronic Journal of Differential Equations, 2014 We establish sufficient conditions for the existence of multiple positive solutions to nonautonomous quasilinear elliptic equations with p(x)-Laplacian and sign-changing nonlinearity.
Ky Ho, Chan-Gyun Kim, Inbo Sim
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Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Calc Var Partial Differ Equ, 2021 Bögelein V +3 more
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Asymptotics for some quasilinear elliptic equations
Differential and Integral Equations, 1996 Let $B$ be the unit ball of $\mathbb{R}^n$, $n \ge 3$. We consider the problem $\Delta u = f(\vert x\vert)u^{p-\epsilon}$ in $B$, $u > 0$ in $B$, $u = 0$ on $\partial B$, where $f \in C^\infty(\mathbb{R},\mathbb{R})$, $p = (n+2)/(n-2)$, $\epsilon \ge 0$.
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Statistical finite elements for misspecified models. [PDF]
Proc Natl Acad Sci U S A, 2021 Duffin C +3 more
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