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Currently displaying 1 – 8 of 8

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Generalized linking theorem and nonlinear equations in unbounded domains

Szulkin, Andrzej — 1998

Proceedings of Equadiff 9

An Index Theory and Existence of Multiple Brake Orbits for Star-Shaped Hamiltonian Systems

Andrzej Szulkin — 1989

Mathematische Annalen

An example concerning the topological character of the zero-set of a harmonic function.

Andrzej Szulkin — 1978

Mathematica Scandinavica

Local structure of the zero-sets of differentiable mappings and application to bifurcation theory.

Andrzej Szulkin — 1979

Mathematica Scandinavica

Morse theory and existence of periodic solutions of convex hamiltonian systems

Andrzej Szulkin — 1988

Bulletin de la Société Mathématique de France

Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems

Andrzej Szulkin — 1986

Annales de l'I.H.P. Analyse non linéaire

Ljusternik-Schnirelmann theory on $C^{1}$ -manifolds

Andrzej Szulkin — 1988

Annales de l'I.H.P. Analyse non linéaire

Eigenvalue problems with indefinite weight

Andrzej Szulkin; Michel Willem — 1999

Studia Mathematica

We consider the linear eigenvalue problem -Δu = λV(x)u, $u \in D_{0}^{1, 2} (Ω)$ , and its nonlinear generalization $- Δ_{p} u = λ V (x) {| u |}^{p - 2} u$ , $u \in D_{0}^{1, p} (Ω)$ . The set Ω need not be bounded, in particular, $Ω = ℝ^{N}$ is admitted. The weight function V may change sign and may have singular points. We show that there exists a sequence of eigenvalues $λ_{n} \to \infty$ .

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