Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Some results on strongly nonlinear anisotropic differential equations

100%

Bougoffa L., El Khalil A., El Manouni S.

Applicationes Mathematicae

2010

tom 37

nr 3

375-386

The paper concerns the existence of weak solutions to nonlinear elliptic equations of the form A(u) + g(x,u,∇u) = f, where A is an operator from an appropriate anisotropic function space to its dual and the right hand side term is in $L^{1+m}$ with 0 < m < 1. We assume a sign condition on the nonlinear term g, but no growth restrictions on u.

Perturbed nonlinear degenerate problems in $ℝ^{N}$

100%

El Khalil A., El Manouni S., Ouanan M.

Applicationes Mathematicae

2009

tom 36

nr 2

213-223

Via critical point theory we establish the existence and regularity of solutions for the quasilinear elliptic problem ⎧ $div𝓐(x,∇u) + a(x)|u|^{p-2}u = g(x)|u|^{p-2}u + h(x)|u|^{s-1}u$ in $ℝ^{N}$ ⎨ ⎩ u > 0, $lim_{|x|→ ∞} u(x) = 0$, where 1 < p < N; a(x) is assumed to satisfy a coercivity condition; h(x) and g(x) are not necessarily bounded but satisfy some integrability restrictions.

Ograniczanie wyników

2 Applicationes Mathematicae

2 El Khalil A.

2 El Manouni S.

1 Bougoffa L.

1 Ouanan M.

1 2010

1 2009

Wyniki wyszukiwania

Some results on strongly nonlinear anisotropic differential equations

Perturbed nonlinear degenerate problems in $ℝ^{N}$