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Boumediene Abdellaoui, Veronica Felli, Ireneo Peral (2005)
Revista Matemática Complutense
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Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to a given class of perturbed degenerate elliptic equations with critical growth.
El Amrouss, Abdel R. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tomiczek, Petr
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Xuan, Benjin (2003)
Revista Colombiana de Matemáticas
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Danuta Rozpłoch-Nowakowska (1992)
Annales Polonici Mathematici
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A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function , where G is a finite nontrivial group acting freely and orthogonally on . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.
Pintea, Cornel (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Ayoujil, Abdesslem, El Amrouss, Abdel R. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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da Silva, Edcarlos D. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Clapp, Mónica, Ding, Yanheng, Hernández-Linares, Sergio (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Somjate Chaiya, Aimo Hinkkanen (2013)
Annales UMCS, Mathematica
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Let D¯ denote the unit disk {z : |z| < 1} in the complex plane C. In this paper, we study a family of polynomials P with only one zero lying outside D¯. We establish criteria for P to satisfy implying that each of P and P' has exactly one critical point outside D¯.