Posts by Radu Precup

Abstract

Existence results to boundary value problems for non-potential pq-Laplacian systems with potential boundary conditions are established. The approach relies on Schaefer fixed point theorem, combined with a technique involving matrices convergent to zero.

Authors

Petru Jebelean
Department of Mathematics, West University of Timişoara, Timişoara, Romania

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

p-Laplacian; subdifferential;  uniform non-resonance; Sxhaefer fixed point theorem;  matrix convergent to zero.

Paper coordinates

P. Jebelean, R. Precup, Solvability of p,q-Laplacian systems with potential boundary conditions, Appl. Anal. 89 (2010), 221-228, https://doi.org/10.1080/00036810902889567

PDF

??

About this paper

Journal
Applicable Anaysis An International Journal
Publisher Name

Taylor and Francis

Print ISSN

0003-6811

Online ISSN

1563-504X

google scholar link

[1] Gasinski, L and Papageorgiou, NS2003Nonlinear second-order multivalued boundary value problemsProc. Indian Acad. Sci. (Math. Sci.), 113: 293319.  [Google Scholar]
[2]
Jebelean, P2008Variational methods for ordinary p-Laplacian systems with potential boundary conditionsAdv. Diff. Eqns, 13: 273322.  [Google Scholar]
[3]
Jebelean, P2008Infinitely many solutions for ordinary p-Laplacian systems with non-linear boundary conditionsComm. Pure Appl. Anal., 7: 267275.  [Google Scholar]
[4]
Jebelean, P and Moroşanu, G2006Ordinary p-Laplacian systems with non-linear boundary conditionsJ. Math. Anal. Appl., 313: 738753.  [Crossref][Web of Science ®][Google Scholar]
[5]
Granas, A and Dugundji, J2003Fixed Point TheoryNew YorkSpringer.  [Crossref][Google Scholar]
[6]
Couchouron, J-F and Precup, R2007Homotopy method for positive solutions of p-Laplace inclusionsTopol. Methods Nonlin. Anal., 30: 157169.  [Google Scholar]
[7]
Precup, R2009The role of matrices that are convergent to zero in the study of semilinear operator systemsMath. Comput. Modelling, 49: 703708.  [Crossref][Web of Science ®][Google Scholar]
[8]
Muzsi, D and Precup, R2008Nonresonance and existence for systems of non-linear operator equationsApplicable Anal., 87: 10051018.  [Taylor & Francis Online][Web of Science ®][Google Scholar]
[9]
Precup, R2002Methods in Nonlinear Integral EquationsDordrechtKluwer.  [Crossref][Google Scholar]
[10]
Dincă, G and Jebelean, P2008A priori estimates for the vector p-Laplacian with potential boundary conditionsArch. Math., 90: 6069.  [Google Scholar]

Related Posts