Results 1 to 10 of about 16,559 (211)
Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality [PDF]
A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type ...
Yoshida Norio
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In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert+2 more
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The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation
We study the existence and uniqueness of positive solutions for a class of quasilinear elliptic equations. This model has been proposed in the self-channeling of a high-power ultrashort laser in matter.
Yongkuan Cheng, Jun Yang
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Singular quasilinear elliptic systems in $\mathbb{R}^N$
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
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Solvability of quasilinear elliptic equations with strong dependence on the gradient
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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Nonexistence of positive supersolutions of elliptic equations via the maximum principle [PDF]
We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of $\mathbb{R}^n$. The simplicity and robustness of our maximum principle-based argument provides for its applicability to ...
Armstrong, Scott N., Sirakov, Boyan
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In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
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Positive solutions of critical quasilinear elliptic problems in general domains
We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains.
Filippo Gazzola
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Solutions of anisotropic elliptic equations in unbounded domains
In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova+1 more
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On quasilinear elliptic equations in ℝN
In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where ...
C. O. Alves, J. V. Concalves, L. A. Maia
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