Asymptotically Linear Elliptic Boundary Value Problems.
Wave operators for pairs of spaces and the Klein-Gordon equation.
Superlinear Elliptic Boundary Value Problems.
Wave operators for pairs of spaces and the Klein-Gordon equation. (Short Communication).
Elliptic resonance problems with unequal limits at infinity.
On Lp Estimates and Regularity II.
Scattering Theory for Elliptic Operators of Arbitrary Order
The invariance principle.
New linking theorems
Complex interpolation
A generalization of the saddle point method with applications
We show that one can drop an important hypothesis of the saddle point theorem without affecting the result. We then show how this leads to stronger results in applications.
Completeness of wave operators in two Hilbert spaces
On the dominance of partial differential operators II
A generalization of the problem of transmission
A nonlinear elliptic boundary value problem
Basic theory of Fredholm operators
The spectrum of operators on
Nonlocal elliptic boundary value problems
Weak linking theorems and Schrödinger equations with critical Sobolev exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where are periodic in for and 0 is in a gap of the spectrum of ; . If for an appropriate constant , we show that this equation has a nontrivial solution.
Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where ≥ 4; are periodic in x for 1 ≤ ≤ and 0 is in a gap of the spectrum of -Δ + ; . If for an appropriate constant , we show that this equation has a nontrivial solution.
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