Geodesic
Critical Point Approaches for a Class of Differential Equations with Sturm-Liouville Type Nonhomogeneous Boundary Conditions
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 503

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A class of $p$-Laplacian equations with Sturm-Liouville type nonhomogeneous boundary value problem with nonlinear derivative depending on two control parameters is investigated. Existence and multiplicity of solutions are discussed by means of variational methods and critical point theory. Two examples supporting our theoretical results are also presented.
Classification : 35J20, 35J60, 34B24
Keywords: multiple solutions, $p$-Laplacian equation, Sturm-Liouville type nonhomogeneous boundary condition, variational methods 
Shapour Heidarkhani; Farahnaz Ayazi. Critical Point Approaches for a Class of Differential Equations with Sturm-Liouville Type Nonhomogeneous Boundary Conditions. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 503 . http://geodesic.mathdoc.fr/item/KJM_2025_49_4_a0/
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     title = {Critical {Point} {Approaches} for a {Class} of {Differential} {Equations} with {Sturm-Liouville} {Type} {Nonhomogeneous} {Boundary} {Conditions}},
     journal = {Kragujevac Journal of Mathematics},
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