Abstract
In the present paper, we consider a quasilinear elliptic equation with a parameter whose values lie in a neighborhood of an eigenvalue of the linear problem. To prove the existence of a nontrivial solution, we use a modification of the conditional mountain pass theorem.
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Original Russian Text © E.A. Sheina, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 1, pp. 114–123.
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Sheina, E.A. Mountain pass theorem in the problem on a nontrivial solution of a quasilinear equation with a parameter. Diff Equat 46, 117–126 (2010). https://doi.org/10.1134/S001226611001012X
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DOI: https://doi.org/10.1134/S001226611001012X