Displaying similar documents to “Positive solutions of an elliptic equation with strongly nonlinear lower order terms.”

On some nonlinear elliptic systems with coercive perturbation in R.

Said El Manouni, Abdelfattah Touzani (2003)

Revista Matemática Complutense

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A nonlinear elliptic system involving the p-Laplacian is considered in the whole R. Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.

Absorption effects for some elliptic equations with singularities

A. Porretta (2005)

Bollettino dell'Unione Matematica Italiana

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We give an expository review of recent results obtained for elliptic equations having natural growth terms of absorption type and singular data. As a new result, we provide an application to the case of lower order terms of subcritical growth, proving a general solvability result with measure data for a class of equations modeled on (1.6).

Existence and nonexistence of radial positive solutions of superlinear elliptic systems.

Abdelaziz Ahammou (2001)

Publicacions Matemàtiques

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The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system ⎧ -Δpu = f(x,u,v) in Ω, ⎨ -Δqv = g(x,u,v) in Ω, ⎩ u = v = 0 on ∂Ω, where Ω is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly...