<正> This paper presents a solution of the variational problem with strong nonlinearity where μ(t) is increasing, L(x)∈L1, φ(v) is any integral function. Using the trace theorem deduced in [1], and by a procedure of Ritz's type, we solved the above problem proposed by O. A. in [5].
机构:
St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
Belishev M.I.
Ivanov A.V.
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机构:
St. Petersburg State University, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg