Existence of Nodal Solutions for weighted Elliptic Problem Involving Exponential Growth
Abstract
In this note, we establish the existence of nodal solutions for a logarithmic weighted elliptic
problem in the unit ball B of R^N , N ≥ 3. The non-linearity is assumed to have exponential growth in
view of Trudinger-Moser type inequalities. Our method is based on the constrained minimization in Nehari
manifold coupled with the quantitative deformation lemma and degree theory
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Published
2025-02-04
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Section
Research Articles
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