Gradient system with dependence on the gradient at nonlinearity [PDF]
Applied Mathematical Sciences, 2013 In this paper we establish existence of solutions for quasilinear elliptic system of gradient form with dependence on the gradient at nonlinearity.
Evandro Monteiro
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Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient [PDF]
Boundary Value Problems, 2007 We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a ...
Sebastian Lorca, Leonelo Iturriaga
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Solvability of quasilinear elliptic equations with strong dependence on the gradient [PDF]
Abstract and Applied Analysis, 2000 We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model [PDF]
, 2004 The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models that involve gradients of the strain field means that the $C^0$ continuity
G. N. Wells +2 more
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Polarization-dependent tunneling of light in gradient optics [PDF]
Physical Review E, 2007 Reflection-refraction properties of photonic barriers, formed by dielectric gradient nanofilms, for inclined incidence of both S- and P-polarized electromagnetic (EM) waves are examined by means of exactly solvable models. We present generalized Fresnel formulae, describing the influence of the non-local dispersion on reflectance and transmittance of ...
Shvartsburg, Alexander +2 more
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On a Singular Robin Problem with Convection Terms
Advanced Nonlinear Studies, 2020 In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta Umberto +2 more
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On convergence of gradient-dependent integrands [PDF]
Applications of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019 AbstractIn this paper, we obtain gradient estimates of the positive solutions to weightedp-Laplacian type equations with a gradient-dependent nonlinearity of the form0.1$${\rm div }( \vert x \vert ^\sigma \vert \nabla u \vert ^{p-2}\nabla u) = \vert x \vert ^{-\tau }u^q \vert \nabla u \vert ^m\quad {\rm in}\;\Omega^*: = \Omega {\rm \setminus }\{ 0\} .$$
Ching, Joshua, Cîrstea, Florica C.
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Temporal variation and climate dependence of soil respiration and its components along a 3000 m altitudinal tropical forest gradient [PDF]
, 2010 To simulate the effect of temperature on soil respiration rates, we translocated soil cores among four sites (3030, 1500, 1000, and 200 m asl) along an altitudinal tropical forest gradient in the Peruvian Andes, traversing a difference in mean annual ...
Michael I. Bird +12 more
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A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient
Advanced Nonlinear Studies, 2020 We consider the elliptic equation -Δu=uq|∇u|p{-\Delta u=u^{q}|\nabla u|^{p}} in ℝn{\mathbb{R}^{n}} for any p>2{p>2} and q>0{q>0}. We prove a Liouville-type theorem, which asserts that any positive bounded solution is constant.
Filippucci Roberta +2 more
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