Results 151 to 160 of about 41,085 (189)

Constant-sign and nodal solutions of coercive -Laplacian problems

Nonlinear Analysis: Theory, Methods & Applications, 2013
A smooth boundary domain \(\Omega\) in \(R^N\) and the real numbers \(p,q, \mu\), verifying \(2 \leq q < p < \infty\), \( \mu \geq 0\), are considered. A qualitative analysis of the equation \[ -\mathrm{div}(|\nabla u|^{p-2}\nabla u)-\mu\cdot \mathrm{div}(|\nabla u|^{q-2}\nabla u)=f(x,y) \quad \text{in} \quad \Omega \] with homogeneous Dirichet ...
MARANO, Salvatore Angelo   +1 more
openaire   +3 more sources

Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems

Journal of Nonlinear and Variational Analysis, 2023
Summary: This paper is dedicated to studying a \((p,q)\)-Laplacian-Kirchhoff type equation. We prove the existence of three bounded solutions (one positive, one negative, and one nodal with precisely two nodal domains) by applying the Nehari manifold along with a quantitative deformation lemma and truncation technique.
Yang, Jie, Chen, Haibo
openaire   +2 more sources

Multiple Constant Sign and Nodal Solutions for Superlinear Elliptic Equations

Funkcialaj Ekvacioj, 2009
We consider semilinear elliptic problems with a superlinear right hand side nonlinearity, which however, need not satisfy the Ambrosetti-Rabinowitz condition. Using a combination of variational methods, with Morse theory (critical groups) and truncation techniques, we prove multiplicity theorems providing precise sign information for the solutions.
Sophia Th. Kyritsi   +1 more
openaire   +1 more source

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