Title:	AN EXISTENCE RESULT FOR ANISOTROPIC QUASILINEAR PROBLEMS
Authors:	Agudelo Rico, Oscar Iván Drábek, Pavel
Citation:	AGUDELO RICO, OI. DRÁBEK, P. AN EXISTENCE RESULT FOR ANISOTROPIC QUASILINEAR PROBLEMS. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, roč. 65, č. JUN 2022, s. nestránkováno. ISSN: 1468-1218
Issue Date:	2022
Publisher:	Elsevier
Document type:	článek article
URI:	2-s2.0-85105302238 http://hdl.handle.net/11025/49260
ISSN:	1468-1218
Keywords in different language:	p−Laplacian;quasilinear eigenvalue problems;subsolution and supersolution;weighted Sobolev spaces;Kato estimates;(p − 1)−sublinearity
Abstract in different language:	We study existence of solutions for a boundary degenerate (or singular) quasilinear equation in a smooth bounded domain under Dirichlet boundary conditions. We consider a weighted p−Laplacian operator with a coefficient that is locally bounded inside the domain and satisfying certain additional integrability assumptions. Our main result applies for boundary value problems involving continuous non-linearities having no growth restriction, but provided the existence of a sub and a supersolution is guaranteed. As an application, we present an existence result for a boundary value problem with a non-linearity f(u) satisfying f(0) ≤ 0 and having (p − 1)−sublinear growth at infinity.
Rights:	Plný text není přístupný. © Elsevier
Appears in Collections:	Články / Articles (KMA) OBD

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