Quasilinear elliptic boundary-value problems on unbounded cylinders and a related mountain-pass lemma
Copyright policy )Quasilinear elliptic boundary-value problems on unbounded cylinders and a related mountain-pass lemma
This paper is concerned with the existence of a weak solution for the quasilinear elliptic Dirichlet boundary-value problem on \(\Omega \subset \mathbb{R}^ n\), \(n \geq 3\), \[ -\nabla \cdot \bigl( | \nabla u |^{p- 2}\nabla u \bigr)+| u |^{p-2}u=f(u) \] with \(2 \leq p
- University of California, Irvine United States
nonlinear Schrödinger equations, NLS equations (nonlinear Schrödinger equations), Existence of generalized solutions of PDE, Nonlinear elliptic equations, stationary waves in nonlinear Klein-Gordon equations, loss of compactness of Sobolev embeddings
nonlinear Schrödinger equations, NLS equations (nonlinear Schrödinger equations), Existence of generalized solutions of PDE, Nonlinear elliptic equations, stationary waves in nonlinear Klein-Gordon equations, loss of compactness of Sobolev embeddings
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