Geodesic
On symmetric positive solutions of p-Laplacian differential equation with variable coefficients
Mathematics and Education in Mathematics, Tome 50 (2021), pp. 156-162.

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In this paper we study the existence of symmetric positive solutions for p-Laplacian differential equation. Using the mountain-pass theorem and a lemma on symmetry we prove the existence of positive even solutions of the problem considered. В статията се изследва съществуването на положителни четни решения на задача на Дирихле за едномерни p-Лапласови уравнения. Приложени са теоремата за хребета и лема за симетрия.
Keywords: symmetric solution, weak solution, Palais-Smale condition, mountain-pass theorem, p-Laplacian ODEs, 34B15, 34B60, 49J35, 49J50, p-Laplacian ODEs, symmetric solution, weak solution, Palais-Smale condition, mountain-pass theorem, 34B15, 34B60, 49J35, 49J50 
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     author = {Tcvetkova, Gergana},
     title = {On symmetric positive solutions of {p-Laplacian} differential equation with variable coefficients},
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     url = {http://geodesic.mathdoc.fr/item/MEM_2021_50_a16/}
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Tcvetkova, Gergana. On symmetric positive solutions of p-Laplacian differential equation with variable coefficients. Mathematics and Education in Mathematics, Tome 50 (2021), pp. 156-162. http://geodesic.mathdoc.fr/item/MEM_2021_50_a16/