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Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth

Mario Marino, Antonino Maugeri (1986)

Rendiconti del Seminario Matematico della Università di Padova

Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method

Alberto Valli (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Picone's identity and the moving plane procedure.

Allegretto, Walter, Siegel, David (1995)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Picone’s identity for a Finsler $p$ -Laplacian and comparison of nonlinear elliptic equations

Jaroslav Jaroš (2014)

Mathematica Bohemica

In the paper we present an identity of the Picone type for a class of nonlinear differential operators of the second order involving an arbitrary norm $H$ in $ℝ^{n}$ which is continuously differentiable for $x \neq 0$ and such that $H^{p}$ is strictly convex for some $p > 1$ . Two important special cases are the $p$ -Laplacian and the so-called pseudo $p$ -Laplacian. The identity is then used to establish a variety of comparison results concerning nonlinear degenerate elliptic equations which involve such operators. We also get criteria...

Picone-type inequalities for nonlinear elliptic equations and their applications.

Jaroš, Jaroslav, Takaŝi, Kusano, Yoshida, Norio (2001)

Journal of Inequalities and Applications [electronic only]

Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications.

Jaroš, Jaroslav, Takaŝi, Kusano, Yoshida, Norio (2006)

Journal of Inequalities and Applications [electronic only]

Positive Entire Solutions of Semilinear Elliptic Equations.

Nobuyoshi Fukagai (1986)

Mathematische Annalen

Positive radial solutions of nonlinear elliptic systems.

Ahammou, Abdelaziz (2001)

The New York Journal of Mathematics [electronic only]

Positive solutions for a class of quasilinear singular equations.

Goncalves, Jose Valdo, Santos, Carlos Alberto P. (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Positive Solutions of a Class of Second Order Semilinear Elliptic Equations in the Plane.

Takasi Kusano, Hiroyuki Usami (1984)

Mathematische Annalen

Positive solutions of critical semilinear elliptic equations on non-contractible planar domains

Michael Struwe (2000)

Journal of the European Mathematical Society

For semilinear elliptic equations of critical exponential growth we establish the existence of positive solutions to the Dirichlet problem on suitable non-contractible domains.

Positive solutions of inequality with $p$ -Laplacian in exterior domains

Robert Mařík (2002)

Mathematica Bohemica

In the paper the differential inequality $Δ_{p} u + B (x, u) \leq 0,$ where $Δ_{p} u = {div (∥ \nabla u ∥}^{p - 2} \nabla u)$ , $p > 1$ , $B (x, u) \in C (ℝ^{n} \times ℝ, ℝ)$ is studied. Sufficient conditions on the function $B (x, u)$ are established, which guarantee nonexistence of an eventually positive solution. The generalized Riccati transformation is the main tool.

Positive solutions of slightly supercritical elliptic equations in symmetric domains

Riccardo Molle, Donato Passaseo (2004)

Annales de l'I.H.P. Analyse non linéaire

Positive solutions of some nonlinear elliptic problems in unbounded domain.

Mâagli, Habib, Masmoudi, Syrine (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains

Vladimir Kondratiev, Vitali Liskevich, Vitaly Moroz (2005)

Annales de l'I.H.P. Analyse non linéaire

Positivity theorem

Jozef Takács (1995)

Acta Mathematica et Informatica Universitatis Ostraviensis

Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien

Alano Ancona (1978)

Annales de l'institut Fourier

L’article étudie le compactifié de Martin d’un domaine lipschitzien $Ω$ relativement à un opérateur elliptique à coefficients hödériens $L$ ; on étend aux fonctions $L$ -harmoniques et aux fonctions $L$ -harmoniques adjointes sur $Ω$ une estimation de $L$ -Carleson pour le cas $L = Δ$ , puis on établit un “principe de Harnack à la frontière” comparant l’allure à la frontière de fonctions $L$ -harmoniques $\geq 0$ sur $Ω$ . Conséquences : $Q \in \partial Ω$ , et normalisée en $A_{0} \in Ω$ ; un théorème de type Fatou-Doob sur l’existence de limites angulaires.On...

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