Existence of infinitely many solutions of nonlinear Steklov–Neumann problem

Arun Kumar Badajena () and Shesadev Pradhan ()
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Arun Kumar Badajena: NIT Rourkela
Shesadev Pradhan: NIT Rourkela

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 447-455

Abstract: Abstract In this paper, we study the existence of infinitely many solutions of the nonlinear Steklov–Neumann problem involving concave-convex type nonlinearities. The method of proof is based on critical point theory and a certain decomposition of the Sobolev space $$W^{1,2}(\Omega )$$ W 1 , 2 ( Ω ) .

Keywords: Nonlinear Steklov problem; Concave–convex nonlinearity (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00266-1

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