Multiple solutions for nonvariational quasilinear elliptic systems

DOI10.1007/s00009-018-1133-9zbMath1398.35045OpenAlexW2800238606MaRDI QIDQ723788

Abdelkrim Moussaoui, Denilson S. Pereira, Motreanu, Dumitru

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1133-9

zbMATH Keywords

quasilinear elliptic systemmultiple solutions\(p\)-LaplacianLeray-Schauder topological degreesub-supersolution

Mathematics Subject Classification ID

Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Multiple solutions to quasi-linear elliptic Robin systems ⋮ Multiple solutions for quasilinear elliptic systems involving variable exponents ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions to nonvariational quasilinear elliptic PDEs

Cites Work

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• Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions
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• Linear and quasilinear elliptic equations
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Boundary regularity for solutions of degenerate elliptic equations
• Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials

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