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

• Autorzy: A. El Khalil , S. El Manouni , M. Ouanan
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35J70: Degenerate elliptic equations
• 35J60: Nonlinear elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 2
• Strony: 213-223

Daty

wydano

2009

Twórcy

autor

A. El Khalil

• Department of Mathematics, Faculty of Sciences, Al-Imam Muhammad ibn Saud Islamic University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

autor

S. El Manouni

• Department of Mathematics, Faculty of Sciences, Al-Imam Muhammad ibn Saud Islamic University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

autor

M. Ouanan

• Département d'Informatique, Faculté des Sciences, et Techniques Errachidia (FSTE), B.P. 509, Boutalamine, 52000 Errachidia, Morocco

Identyfikatory

DOI

10.4064/am36-2-8