Applications of natural constraints in critical point theory to boundary value problems on domains with rotation symmetry
نویسنده
چکیده
The peculiarity of this BVP is its rotation symmetry: with u = u (r, 0) a solution of (1.1), for any (p the function R~ u : = u (r, 0 + ~o) is also a solution. Calling two functions u 1 and u 2 geometrically distinct (as in [4]) ifR~ ul + u2 for all ~o, we will derive multiplicity results for geometrically distinct solutions of (1.1). In particular, we shall distinguish between non-radial and radial solutions u, depending on whether u depends on the angle variable 0 or not. Concerning the non-linearity g we require
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