Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations. [PDF]
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Constant sign and nodal solutions for logistic-type equations with equidiffusive reaction
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Constant-sign and nodal solutions of coercive -Laplacian problems
Nonlinear Analysis: Theory, Methods & Applications, 2013A 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 ...
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Journal of Nonlinear and Variational Analysis, 2023Summary: 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.
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