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multiplicity analysis of positive weak solutions in a quasi-linear dirichlet problem inspired by kirchhoff-type phenomena
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نویسنده
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ahmed ahmed ,vall mohamed saad bouh elemine
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منبع
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international journal of nonlinear analysis and applications - 2025 - دوره : 16 - شماره : 1 - صفحه:359 -369
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چکیده
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The main focus of this paper lies in investigating the existence of infinitely many positive weak solutions for the following elliptic-kirchhoff equation with dirichlet boundary condition { − ∑ n i=1 mi (⌠ ω 1/pi(x) |∂u/∂xi| pi(x) dx) ∂/∂xi (|∂u/∂xi| pi(x)−2 ∂u/∂xi) = f(x, u) in ω, u = 0 on ∂ω. the methodology adopted revolves around the technical approach utilizing the direct variational method within the framework of anisotropic variable exponent sobolev spaces.
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کلیدواژه
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nonlinear elliptic equations ,variational methods applied on pdes ,positive solutions to pdes
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آدرس
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university of nouakchott, faculty of science and technology, mathematics and computer sciences department, research unit geometry, algebra, analysis and applications, mauritania, university of nouakchott, professional university institute, department of industrial engineering and applied mathematics, mauritania
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پست الکترونیکی
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saad2012bouh@gmail.com
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Authors
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