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Publications Influence

Existence and multiplicity results for some superlinear elliptic problems on RN

- T. Bartsch, Z. Wang
- Mathematics
- 31 December 1995

We study the semilinear elliptic PDE in RN The nonlinearity ƒ will be superlinear and subcritical. We prove the existence 0f a positive solution under various hypotheses on b. If and ƒ is odd in u,...

518 47

Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

- T. Bartsch, S. Li
- Mathematics
- 3 February 1997

258 28

Critical Point Theory on Partially Ordered Hilbert Spaces

- T. Bartsch
- Mathematics
- 20 October 2001

We develop some abstract critical point theory in order to prove that boundary value problems like the model problem[formula] on a bounded domain Ω⊂RN, 2<p<2N/(N−2) have infinitely many sign changing… Expand

124 21

Infinitely Many Nonradial Solutions of a Euclidean Scalar Field Equation

- T. Bartsch, M. Willem
- Mathematics
- 1 November 1993

Abstract We study the equation −Δu + b(|x|) u = ƒ(|x|, u), x ∈ R N ; u ∈ H 1 ( R N ). The existence of a nonradial solution has been an open problem for some time even in the autonomous case. Under… Expand

147 19

Infinitely many solutions of a symmetric Dirichlet problem

- T. Bartsch
- Mathematics
- 1 May 1993

Here Q is a bounded domain in [R” with smooth boundary and F: I?“’ + R is C’ and satisfies certain growth conditions. If m = 1 and F is an even function, hence, F,: R + R is an odd function, then… Expand

153 18

Topological Methods for Variational Problems With Symmetries

- T. Bartsch
- Mathematics
- 1 November 1993

Category, genus and critical point theory with symmetries.- Category and genus of infinite-dimensional representation spheres.- The length of G-spaces.- The length of representation spheres.- The… Expand

149 17

On An Elliptic Equation With Concave and Convex Nonlinearities

- T. Bartsch, M. Willem
- Mathematics
- 1 November 1995

We study the semilinear elliptic equation -Delta u=lambdau(q-2)u+muu(p-2)u in an open bounded domain Omega subset of R(N) with Dirichlet boundary conditions; here 1 0 and mu is an element of R… Expand

195 14- PDF

Partial symmetry of least energy nodal solutions to some variational problems

- T. Bartsch, T. Weth, M. Willem
- Mathematics
- 1 December 2005

We investigate the symmetry properties of several radially symmetric minimization problems. The minimizers which we obtain are nodal solutions of superlinear elliptic problems, or eigenfunctions of… Expand

171 13- PDF

Multiple positive solutions for a nonlinear Schrödinger equation

- T. Bartsch, Z. Wang
- Mathematics
- 1 May 2000

We are interested in positive entire solutions of the nonlinear Schrodinger equation \(-\Delta u+(\lambda a(x)+1)u = u^p\) where a? 0 has a potential well and p > 1 is subcritical. Using variational… Expand

115 11

Multiple solutions of a critical polyharmonic equation

- T. Bartsch, M. Schneider, T. Weth
- Mathematics
- 7 January 2004

We prove that for N > 2m the equation (−∆)mu = |u| 4m N−2mu on RN has a sequence of nodal, finite energy solutions which is unbounded in Dm,2(RN ). This generalizes a classical result of Weiyue Ding… Expand

36 10